102112121111121 has 32 divisors (see below), whose sum is σ = 166216954713600. Its totient is φ = 61440909996240.

The previous prime is 102112121111089. The next prime is 102112121111137. The reversal of 102112121111121 is 121111121211201.

102112121111121 is a `hidden beast` number, since 10 + 211 + 212 + 1 + 111 + 121 = 666.

It is not a de Polignac number, because 102112121111121 - 2⁵ = 102112121111089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112121111094 and 102112121111103.

It is not an unprimeable number, because it can be changed into a prime (102112121111141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236692011 + ... + 1236774576.

It is an arithmetic number, because the mean of its divisors is an integer number (5194279834800).

Almost surely, 2^{102112121111121} is an apocalyptic number.

102112121111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112121111121 is a deficient number, since it is larger than the sum of its proper divisors (64104833602479).

102112121111121 is a wasteful number, since it uses less digits than its factorization.

102112121111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473466746 (or 2473466740 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 102112121111121 its reverse (121111121211201), we get a palindrome (223223242322322).

The spelling of 102112121111121 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".