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10001221020021 = 372118217533553
BaseRepresentation
bin1001000110001001011100…
…1110011110100101110101
31022102002220021210111102010
42101202113032132211311
52302330000040120041
633134255243434433
72051364403010400
oct221422716364565
938362807714363
1010001221020021
113206548597480
121156378825a19
1357715a0cc48a
142680c1370d37
1512524c231a16
hex9189739e975

10001221020021 has 48 divisors (see below), whose sum is σ = 16942902677568. Its totient is φ = 5189110617600.

The previous prime is 10001221020013. The next prime is 10001221020023. The reversal of 10001221020021 is 12002012210001.

It is not a de Polignac number, because 10001221020021 - 23 = 10001221020013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001221019979 and 10001221020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001221020023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2439220 + ... + 5094333.

It is an arithmetic number, because the mean of its divisors is an integer number (352977139116).

Almost surely, 210001221020021 is an apocalyptic number.

10001221020021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001221020021 is a deficient number, since it is larger than the sum of its proper divisors (6941681657547).

10001221020021 is a wasteful number, since it uses less digits than its factorization.

10001221020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534402 (or 7534395 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001221020021 its reverse (12002012210001), we get a palindrome (22003233230022).

The spelling of 10001221020021 in words is "ten trillion, one billion, two hundred twenty-one million, twenty thousand, twenty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 821 1617 2463 5747 9031 17241 27093 40229 63217 120687 189651 442519 1327557 7533553 22600659 52734871 82869083 158204613 248607249 369144097 580083581 1107432291 1740250743 4060585067 6185047013 12181755201 18555141039 43295329091 68035517143 129885987273 204106551429 303067303637 476248620001 909201910911 1428745860003 3333740340007 10001221020021