100200211202100 has 72 divisors (see below), whose sum is σ = 289921268851200. Its totient is φ = 26719258369280.

The previous prime is 100200211202041. The next prime is 100200211202149. The reversal of 100200211202100 is 1202112002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 5109304 + ... + 15050096.

It is an arithmetic number, because the mean of its divisors is an integer number (4026684289600).

Almost surely, 2^{100200211202100} is an apocalyptic number.

100200211202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200211202100 is an abundant number, since it is smaller than the sum of its proper divisors (189721057649100).

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

100200211202100 is a wasteful number, since it uses less digits than its factorization.

100200211202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974409 (or 9974402 counting only the distinct ones).

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

Adding to 100200211202100 its reverse (1202112002001), we get a palindrome (101402323204101).

The spelling of 100200211202100 in words is "one hundred trillion, two hundred billion, two hundred eleven million, two hundred two thousand, one hundred".