100112122022112 has 72 divisors (see below), whose sum is σ = 284695562203416. Its totient is φ = 33370506291456.

The previous prime is 100112122022089. The next prime is 100112122022149. The reversal of 100112122022112 is 211220221211001.

100112122022112 is a `hidden beast` number, since 100 + 1 + 121 + 220 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51389763 + ... + 53302269.

It is an arithmetic number, because the mean of its divisors is an integer number (3954105030603).

Almost surely, 2^{100112122022112} is an apocalyptic number.

100112122022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100112122022112 is an abundant number, since it is smaller than the sum of its proper divisors (184583440181304).

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

100112122022112 is a wasteful number, since it uses less digits than its factorization.

100112122022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094280 (or 2094269 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100112122022112 its reverse (211220221211001), we get a palindrome (311332343233113).

The spelling of 100112122022112 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".