102002100212100 has 144 divisors (see below), whose sum is σ = 323573589964800. Its totient is φ = 24603521500800.

The previous prime is 102002100212099. The next prime is 102002100212149. The reversal of 102002100212100 is 1212001200201.

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 47 ways as a sum of consecutive naturals, for example, 77005932 + ... + 78319331.

It is an arithmetic number, because the mean of its divisors is an integer number (2247038819200).

Almost surely, 2^{102002100212100} is an apocalyptic number.

102002100212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002100212100 is an abundant number, since it is smaller than the sum of its proper divisors (221571489752700).

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

102002100212100 is a wasteful number, since it uses less digits than its factorization.

102002100212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155325490 (or 155325483 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102002100212100 its reverse (1212001200201), we get a palindrome (103214101412301).

The spelling of 102002100212100 in words is "one hundred two trillion, two billion, one hundred million, two hundred twelve thousand, one hundred".