102002112021100 has 72 divisors (see below), whose sum is σ = 230983518171168. Its totient is φ = 39024316953600.

The previous prime is 102002112021079. The next prime is 102002112021109. The reversal of 102002112021100 is 1120211200201.

It is not an unprimeable number, because it can be changed into a prime (102002112021109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33541890 + ... + 36456310.

It is an arithmetic number, because the mean of its divisors is an integer number (3208104419044).

Almost surely, 2^{102002112021100} is an apocalyptic number.

102002112021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002112021100 is an abundant number, since it is smaller than the sum of its proper divisors (128981406150068).

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

102002112021100 is a wasteful number, since it uses less digits than its factorization.

102002112021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929675 (or 2929668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102002112021100 its reverse (1120211200201), we get a palindrome (103122323221301).

The spelling of 102002112021100 in words is "one hundred two trillion, two billion, one hundred twelve million, twenty-one thousand, one hundred".