112201102212120 has 48 divisors (see below), whose sum is σ = 364653582190560. Its totient is φ = 29920293923136.

The previous prime is 112201102212091. The next prime is 112201102212131. The reversal of 112201102212120 is 21212201102211.

112201102212120 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 10 + 221 + 212 + 0 = 666.

112201102212120 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112201102212120² (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 junction number, because it is equal to n+sod(n) for n = 112201102212093 and 112201102212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155834863824 + ... + 155834864543.

It is an arithmetic number, because the mean of its divisors is an integer number (7596949628970).

Almost surely, 2^{112201102212120} is an apocalyptic number.

112201102212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112201102212120 is an abundant number, since it is smaller than the sum of its proper divisors (252452479978440).

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

112201102212120 is a wasteful number, since it uses less digits than its factorization.

112201102212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311669728384 (or 311669728377 counting only the distinct ones).

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

Adding to 112201102212120 its reverse (21212201102211), we get a palindrome (133413303314331).

The spelling of 112201102212120 in words is "one hundred twelve trillion, two hundred one billion, one hundred two million, two hundred twelve thousand, one hundred twenty".