102111012111121 has 16 divisors (see below), whose sum is σ = 110994275246400. Its totient is φ = 93374701075008.

The previous prime is 102111012111107. The next prime is 102111012111181. The reversal of 102111012111121 is 121111210111201.

It is a cyclic number.

It is not a de Polignac number, because 102111012111121 - 2¹⁵ = 102111012078353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102111012111095 and 102111012111104.

It is not an unprimeable number, because it can be changed into a prime (102111012111181) 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 15 ways as a sum of consecutive naturals, for example, 282998095 + ... + 283358683.

It is an arithmetic number, because the mean of its divisors is an integer number (6937142202900).

Almost surely, 2^{102111012111121} is an apocalyptic number.

It is an amenable number.

102111012111121 is a deficient number, since it is larger than the sum of its proper divisors (8883263135279).

102111012111121 is a wasteful number, since it uses less digits than its factorization.

102111012111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564288.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 102111012111121 its reverse (121111210111201), we get a palindrome (223222222222322).

The spelling of 102111012111121 in words is "one hundred two trillion, one hundred eleven billion, twelve million, one hundred eleven thousand, one hundred twenty-one".