100112001220100 has 36 divisors (see below), whose sum is σ = 217246301596800. Its totient is φ = 40044199760160.

The previous prime is 100112001220087. The next prime is 100112001220111. The reversal of 100112001220100 is 1022100211001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 779720 + ... + 14171519.

It is an arithmetic number, because the mean of its divisors is an integer number (6034619488800).

Almost surely, 2^{100112001220100} is an apocalyptic number.

100112001220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112001220100 is an abundant number, since it is smaller than the sum of its proper divisors (117134300376700).

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

100112001220100 is a wasteful number, since it uses less digits than its factorization.

100112001220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15018212 (or 15018205 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100112001220100 its reverse (1022100211001), we get a palindrome (101134101431101).

The spelling of 100112001220100 in words is "one hundred trillion, one hundred twelve billion, one million, two hundred twenty thousand, one hundred".