112220211122100 has 54 divisors (see below), whose sum is σ = 351748017308870. Its totient is φ = 29925389632320.

The previous prime is 112220211122081. The next prime is 112220211122141. The reversal of 112220211122100 is 1221112022211.

112220211122100 is a `hidden beast` number, since 1 + 12 + 220 + 211 + 1 + 221 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 969779831076 + 111250431291024 = 984774^2 + 10547532^2 .

It is a super-2 number, since 2×112220211122100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 62344560835 + ... + 62344562634.

Almost surely, 2^{112220211122100} is an apocalyptic number.

112220211122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112220211122100 is an abundant number, since it is smaller than the sum of its proper divisors (239527806186770).

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

112220211122100 is a wasteful number, since it uses less digits than its factorization.

112220211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124689123489 (or 124689123479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112220211122100 its reverse (1221112022211), we get a palindrome (113441323144311).

The spelling of 112220211122100 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".