112001100100 has 54 divisors (see below), whose sum is σ = 251712340334. Its totient is φ = 43255564800.

The previous prime is 112001100097. The next prime is 112001100139. The reversal of 112001100100 is 1001100211.

It can be written as a sum of positive squares in 9 ways, for example, as 6464481604 + 105536618496 = 80402^2 + 324864^2 .

It is a super-2 number, since 2×112001100100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 581781 + ... + 749980.

Almost surely, 2^112001100100 is an apocalyptic number.

112001100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001100100 is an abundant number, since it is smaller than the sum of its proper divisors (139711240234).

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

112001100100 is a wasteful number, since it uses less digits than its factorization.

112001100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331833 (or 1331797 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 112001100100 its reverse (1001100211), we get a palindrome (113002200311).

The spelling of 112001100100 in words is "one hundred twelve billion, one million, one hundred thousand, one hundred".