102121102120100 has 144 divisors (see below), whose sum is σ = 260463795916800. Its totient is φ = 34737255302400.

The previous prime is 102121102120061. The next prime is 102121102120153. The reversal of 102121102120100 is 1021201121201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7365521 + ... + 16077720.

Almost surely, 2^{102121102120100} is an apocalyptic number.

102121102120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121102120100 is an abundant number, since it is smaller than the sum of its proper divisors (158342693796700).

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

102121102120100 is a wasteful number, since it uses less digits than its factorization.

102121102120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23443403 (or 23443382 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102121102120100 its reverse (1021201121201), we get a palindrome (103142303241301).

The spelling of 102121102120100 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred two million, one hundred twenty thousand, one hundred".