102121200111100 has 36 divisors (see below), whose sum is σ = 234638475082704. Its totient is φ = 38445628276480.

The previous prime is 102121200111067. The next prime is 102121200111101. The reversal of 102121200111100 is 1111002121201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121200111101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30035645392 + ... + 30035648791.

It is an arithmetic number, because the mean of its divisors is an integer number (6517735418964).

Almost surely, 2^{102121200111100} is an apocalyptic number.

102121200111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121200111100 is an abundant number, since it is smaller than the sum of its proper divisors (132517274971604).

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

102121200111100 is a wasteful number, since it uses less digits than its factorization.

102121200111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60071294214 (or 60071294207 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102121200111100 its reverse (1111002121201), we get a palindrome (103232202232301).

The spelling of 102121200111100 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred million, one hundred eleven thousand, one hundred".