102121111100100 has 72 divisors (see below), whose sum is σ = 308316954576960. Its totient is φ = 26048283409280.

The previous prime is 102121111100059. The next prime is 102121111100131. The reversal of 102121111100100 is 1001111121201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7400073615 + ... + 7400087414.

It is an arithmetic number, because the mean of its divisors is an integer number (4282179924680).

Almost surely, 2^{102121111100100} is an apocalyptic number.

102121111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121111100100 is an abundant number, since it is smaller than the sum of its proper divisors (206195843476860).

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

102121111100100 is a wasteful number, since it uses less digits than its factorization.

102121111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14800161069 (or 14800161062 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102121111100100 its reverse (1001111121201), we get a palindrome (103122222221301).

The spelling of 102121111100100 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred thousand, one hundred".