100112101220100 has 144 divisors (see below), whose sum is σ = 290042607960000. Its totient is φ = 26661101406720.

The previous prime is 100112101220077. The next prime is 100112101220203. The reversal of 100112101220100 is 1022101211001.

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

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, 903899526 + ... + 904010274.

It is an arithmetic number, because the mean of its divisors is an integer number (2014184777500).

Almost surely, 2^{100112101220100} is an apocalyptic number.

100112101220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112101220100 is an abundant number, since it is smaller than the sum of its proper divisors (189930506739900).

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

100112101220100 is a wasteful number, since it uses less digits than its factorization.

100112101220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114742 (or 114735 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100112101220100 its reverse (1022101211001), we get a palindrome (101134202431101).

Subtracting from 100112101220100 its reverse (1022101211001), we obtain a palindrome (99090000009099).

The spelling of 100112101220100 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, two hundred twenty thousand, one hundred".