102000100200 has 96 divisors (see below), whose sum is σ = 316259445600. Its totient is φ = 27194940160.

The previous prime is 102000100187. The next prime is 102000100247. The reversal of 102000100200 is 2001000201.

It is a happy number.

It is a super-3 number, since 3×102000100200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 4069306 + ... + 4094294.

It is an arithmetic number, because the mean of its divisors is an integer number (3294369225).

Almost surely, 2^102000100200 is an apocalyptic number.

102000100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000100200 is an abundant number, since it is smaller than the sum of its proper divisors (214259345400).

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

102000100200 is a wasteful number, since it uses less digits than its factorization.

102000100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31811 (or 31802 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 102000100200 its reverse (2001000201), we get a palindrome (104001100401).

Subtracting from 102000100200 its reverse (2001000201), we obtain a palindrome (99999099999).

The spelling of 102000100200 in words is "one hundred two billion, one hundred thousand, two hundred".