102121121111112 has 128 divisors (see below), whose sum is σ = 289895960640000. Its totient is φ = 33301138411008.

The previous prime is 102121121111111. The next prime is 102121121111171. The reversal of 102121121111112 is 211111121121201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102121121111111) 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 31 ways as a sum of consecutive naturals, for example, 25592293 + ... + 29312244.

It is an arithmetic number, because the mean of its divisors is an integer number (2264812192500).

Almost surely, 2^{102121121111112} is an apocalyptic number.

102121121111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102121121111112 is an abundant number, since it is smaller than the sum of its proper divisors (187774839528888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121121111112 is a wasteful number, since it uses less digits than its factorization.

102121121111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54904740 (or 54904730 counting only the distinct ones).

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

Adding to 102121121111112 its reverse (211111121121201), we get a palindrome (313232242232313).

The spelling of 102121121111112 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twelve".