100200102111100 has 72 divisors (see below), whose sum is σ = 218411631573408. Its totient is φ = 39899942784000.

The previous prime is 100200102111077. The next prime is 100200102111103. The reversal of 100200102111100 is 1111201002001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200102111103) 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, 115298200 + ... + 116164000.

It is an arithmetic number, because the mean of its divisors is an integer number (3033494882964).

Almost surely, 2^{100200102111100} is an apocalyptic number.

100200102111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200102111100 is an abundant number, since it is smaller than the sum of its proper divisors (118211529462308).

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

100200102111100 is a wasteful number, since it uses less digits than its factorization.

100200102111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871015 (or 871008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100200102111100 its reverse (1111201002001), we get a palindrome (101311303113101).

The spelling of 100200102111100 in words is "one hundred trillion, two hundred billion, one hundred two million, one hundred eleven thousand, one hundred".