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102211121201 = 73297991607
BaseRepresentation
bin101111100110001000…
…0011111000000110001
3100202211021020221022112
41133030100133000301
53133312021334301
6114542151015105
710245613124000
oct1371420370061
9322737227275
10102211121201
113a3905711a2
121798636a495
13983b936097
144d38994c37
1529d34019bb
hex17cc41f031

102211121201 has 8 divisors (see below), whose sum is σ = 119196643200. Its totient is φ = 87609532164.

The previous prime is 102211121197. The next prime is 102211121231. The reversal of 102211121201 is 102121112201.

It is not a de Polignac number, because 102211121201 - 22 = 102211121197 is a prime.

It is a super-2 number, since 2×1022111212012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102211121231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148995461 + ... + 148996146.

It is an arithmetic number, because the mean of its divisors is an integer number (14899580400).

Almost surely, 2102211121201 is an apocalyptic number.

It is an amenable number.

102211121201 is a deficient number, since it is larger than the sum of its proper divisors (16985521999).

102211121201 is an frugal number, since it uses more digits than its factorization.

102211121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297991628 (or 297991614 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102211121201 its reverse (102121112201), we get a palindrome (204332233402).

The spelling of 102211121201 in words is "one hundred two billion, two hundred eleven million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 7 49 343 297991607 2085941249 14601588743 102211121201