100112101022112 has 96 divisors (see below), whose sum is σ = 263252764756800. Its totient is φ = 33312490536960.

The previous prime is 100112101022107. The next prime is 100112101022113. The reversal of 100112101022112 is 211220101211001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100112101022112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100112101022091 and 100112101022100.

It is not an unprimeable number, because it can be changed into a prime (100112101022113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 546076639 + ... + 546259937.

It is an arithmetic number, because the mean of its divisors is an integer number (2742216299550).

Almost surely, 2^{100112101022112} is an apocalyptic number.

100112101022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100112101022112 is an abundant number, since it is smaller than the sum of its proper divisors (163140663734688).

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

100112101022112 is a wasteful number, since it uses less digits than its factorization.

100112101022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193206 (or 193198 counting only the distinct ones).

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

Adding to 100112101022112 its reverse (211220101211001), we get a palindrome (311332202233113).

The spelling of 100112101022112 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, twenty-two thousand, one hundred twelve".