102121022112102 has 64 divisors (see below), whose sum is σ = 259479250467840. Its totient is φ = 29163454100928.

The previous prime is 102121022112091. The next prime is 102121022112103. The reversal of 102121022112102 is 201211220121201.

102121022112102 is a `hidden beast` number, since 1 + 0 + 21 + 210 + 221 + 1 + 210 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121022112103) 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, 63935943 + ... + 65513714.

It is an arithmetic number, because the mean of its divisors is an integer number (4054363288560).

Almost surely, 2^{102121022112102} is an apocalyptic number.

102121022112102 is an abundant number, since it is smaller than the sum of its proper divisors (157358228355738).

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

102121022112102 is a wasteful number, since it uses less digits than its factorization.

102121022112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129451762 (or 129451756 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102121022112102 its reverse (201211220121201), we get a palindrome (303332242233303).

The spelling of 102121022112102 in words is "one hundred two trillion, one hundred twenty-one billion, twenty-two million, one hundred twelve thousand, one hundred two".