100112000022112 has 96 divisors (see below), whose sum is σ = 219152683330560. Its totient is φ = 44705037058560.

The previous prime is 100112000022103. The next prime is 100112000022131. The reversal of 100112000022112 is 211220000211001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100112000022092 and 100112000022101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56946939 + ... + 58678597.

It is an arithmetic number, because the mean of its divisors is an integer number (2282840451360).

Almost surely, 2^{100112000022112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100112000022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109576341665280).

100112000022112 is an abundant number, since it is smaller than the sum of its proper divisors (119040683308448).

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

100112000022112 is a wasteful number, since it uses less digits than its factorization.

100112000022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736196 (or 1736188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100112000022112 its reverse (211220000211001), we get a palindrome (311332000233113).

The spelling of 100112000022112 in words is "one hundred trillion, one hundred twelve billion, twenty-two thousand, one hundred twelve".