101002100200 has 48 divisors (see below), whose sum is σ = 235156824000. Its totient is φ = 40344592320.

The previous prime is 101002100179. The next prime is 101002100233. The reversal of 101002100200 is 2001200101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207390 + ... + 494989.

It is an arithmetic number, because the mean of its divisors is an integer number (4899100500).

Almost surely, 2^101002100200 is an apocalyptic number.

101002100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002100200 is an abundant number, since it is smaller than the sum of its proper divisors (134154723800).

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

101002100200 is a wasteful number, since it uses less digits than its factorization.

101002100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703114 (or 703105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101002100200 its reverse (2001200101), we get a palindrome (103003300301).

Subtracting from 101002100200 its reverse (2001200101), we obtain a palindrome (99000900099).

The spelling of 101002100200 in words is "one hundred one billion, two million, one hundred thousand, two hundred".