100201012100112 has 240 divisors, whose sum is σ = 331501953499200. Its totient is φ = 25787463367680.

The previous prime is 100201012100083. The next prime is 100201012100159. The reversal of 100201012100112 is 211001210102001.

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, 14945787 + ... + 20585882.

It is an arithmetic number, because the mean of its divisors is an integer number (1381258139580).

Almost surely, 2^{100201012100112} is an apocalyptic number.

100201012100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201012100112 is an abundant number, since it is smaller than the sum of its proper divisors (231300941399088).

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

100201012100112 is a wasteful number, since it uses less digits than its factorization.

100201012100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35531814 (or 35531801 counting only the distinct ones).

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

Adding to 100201012100112 its reverse (211001210102001), we get a palindrome (311202222202113).

The spelling of 100201012100112 in words is "one hundred trillion, two hundred one billion, twelve million, one hundred thousand, one hundred twelve".