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1020201012221 = 29101348310349
BaseRepresentation
bin11101101100010001011…
…10000000101111111101
310121112022120012011122212
432312020232000233331
5113203332424342341
62100401320150205
7133464350344256
oct16661056005775
93545276164585
101020201012221
11363734969416
1214587b308365
13752874c3401
14375412d5b2d
151b80ee8b5eb
hexed88b80bfd

1020201012221 has 8 divisors (see below), whose sum is σ = 1065829671000. Its totient is φ = 975268974400.

The previous prime is 1020201012217. The next prime is 1020201012241. The reversal of 1020201012221 is 1222101020201.

It can be written as a sum of positive squares in 4 ways, for example, as 109342648900 + 910858363321 = 330670^2 + 954389^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020201012221 - 22 = 1020201012217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020201012196 and 1020201012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020201012241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174152246 + ... + 174158103.

It is an arithmetic number, because the mean of its divisors is an integer number (133228708875).

Almost surely, 21020201012221 is an apocalyptic number.

It is an amenable number.

1020201012221 is a deficient number, since it is larger than the sum of its proper divisors (45628658779).

1020201012221 is a wasteful number, since it uses less digits than its factorization.

1020201012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348310479.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020201012221 its reverse (1222101020201), we get a palindrome (2242302032422).

The spelling of 1020201012221 in words is "one trillion, twenty billion, two hundred one million, twelve thousand, two hundred twenty-one".

Divisors: 1 29 101 2929 348310349 10101000121 35179345249 1020201012221