101100102111200 has 72 divisors (see below), whose sum is σ = 246844415836872. Its totient is φ = 40434504081920.

The previous prime is 101100102111157. The next prime is 101100102111227. The reversal of 101100102111200 is 2111201001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2801939 + ... + 14493138.

It is an arithmetic number, because the mean of its divisors is an integer number (3428394664401).

Almost surely, 2^{101100102111200} is an apocalyptic number.

101100102111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100102111200 is an abundant number, since it is smaller than the sum of its proper divisors (145744313725672).

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

101100102111200 is a wasteful number, since it uses less digits than its factorization.

101100102111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17302404 (or 17302391 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101100102111200 its reverse (2111201001101), we get a palindrome (103211303112301).

The spelling of 101100102111200 in words is "one hundred one trillion, one hundred billion, one hundred two million, one hundred eleven thousand, two hundred".