112020211122100 has 72 divisors (see below), whose sum is σ = 243556967597720. Its totient is φ = 44720943022080.

The previous prime is 112020211122047. The next prime is 112020211122107. The reversal of 112020211122100 is 1221112020211.

It can be written as a sum of positive squares in 12 ways, for example, as 83437372972836 + 28582838149264 = 9134406^2 + 5346292^2 .

It is a super-2 number, since 2×112020211122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112020211122107) 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, 132373924 + ... + 133217476.

Almost surely, 2^{112020211122100} is an apocalyptic number.

112020211122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112020211122100 is an abundant number, since it is smaller than the sum of its proper divisors (131536756475620).

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

112020211122100 is a wasteful number, since it uses less digits than its factorization.

112020211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846149 (or 846142 counting only the distinct ones).

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

Adding to 112020211122100 its reverse (1221112020211), we get a palindrome (113241323142311).

The spelling of 112020211122100 in words is "one hundred twelve trillion, twenty billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".