100112212112100 has 72 divisors (see below), whose sum is σ = 289659158106528. Its totient is φ = 26696483193600.

The previous prime is 100112212112083. The next prime is 100112212112113. The reversal of 100112212112100 is 1211212211001.

It is a happy number.

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 100112212112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99600040 + ... + 100600160.

Almost surely, 2^{100112212112100} is an apocalyptic number.

100112212112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112212112100 is an abundant number, since it is smaller than the sum of its proper divisors (189546945994428).

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

100112212112100 is a wasteful number, since it uses less digits than its factorization.

100112212112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333805 (or 1333798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112212112100 its reverse (1211212211001), we get a palindrome (101323424323101).

It can be divided in two parts, 100112 and 212112100, that added together give a palindrome (212212212).

The spelling of 100112212112100 in words is "one hundred trillion, one hundred twelve billion, two hundred twelve million, one hundred twelve thousand, one hundred".