100112012122200 has 192 divisors, whose sum is σ = 335899605216000. Its totient is φ = 24519122496000.

The previous prime is 100112012122127. The next prime is 100112012122223. The reversal of 100112012122200 is 2221210211001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100112012122200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30696226 + ... + 33800625.

It is an arithmetic number, because the mean of its divisors is an integer number (1749477110500).

Almost surely, 2^{100112012122200} is an apocalyptic number.

100112012122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112012122200 is an abundant number, since it is smaller than the sum of its proper divisors (235787593093800).

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

100112012122200 is a wasteful number, since it uses less digits than its factorization.

100112012122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64497082 (or 64497073 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100112012122200 its reverse (2221210211001), we get a palindrome (102333222333201).

The spelling of 100112012122200 in words is "one hundred trillion, one hundred twelve billion, twelve million, one hundred twenty-two thousand, two hundred".