112211212100 has 72 divisors (see below), whose sum is σ = 264825607368. Its totient is φ = 41021568000.

The previous prime is 112211212081. The next prime is 112211212103. The reversal of 112211212100 is 1212112211.

It can be written as a sum of positive squares in 12 ways, for example, as 639179524 + 111572032576 = 25282^2 + 334024^2 .

It is a super-2 number, since 2×112211212100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112211212103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296009 + ... + 558608.

Almost surely, 2^112211212100 is an apocalyptic number.

112211212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211212100 is an abundant number, since it is smaller than the sum of its proper divisors (152614395268).

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

112211212100 is a wasteful number, since it uses less digits than its factorization.

112211212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854745 (or 854738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112211212100 its reverse (1212112211), we get a palindrome (113423324311).

The spelling of 112211212100 in words is "one hundred twelve billion, two hundred eleven million, two hundred twelve thousand, one hundred".