112012122012100 has 72 divisors (see below), whose sum is σ = 248251649627520. Its totient is φ = 43858929790080.

The previous prime is 112012122012097. The next prime is 112012122012103. The reversal of 112012122012100 is 1210221210211.

It is an interprime number because it is at equal distance from previous prime (112012122012097) and next prime (112012122012103).

It is a super-4 number, since 4×112012122012100⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (112012122012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61000972 + ... + 62810371.

It is an arithmetic number, because the mean of its divisors is an integer number (3447939578160).

Almost surely, 2^{112012122012100} is an apocalyptic number.

112012122012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012122012100 is an abundant number, since it is smaller than the sum of its proper divisors (136239527615420).

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

112012122012100 is a wasteful number, since it uses less digits than its factorization.

112012122012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123811549 (or 123811542 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112012122012100 its reverse (1210221210211), we get a palindrome (113222343222311).

The spelling of 112012122012100 in words is "one hundred twelve trillion, twelve billion, one hundred twenty-two million, twelve thousand, one hundred".