22101221112120 has 144 divisors (see below), whose sum is σ = 74220777263880. Its totient is φ = 5703540842880.

The previous prime is 22101221112077. The next prime is 22101221112163. The reversal of 22101221112120 is 2121112210122.

22101221112120 is a `hidden beast` number, since 2 + 210 + 1 + 221 + 112 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (22101221112077) and next prime (22101221112163).

It is a super-2 number, since 2×22101221112120² (a number of 27 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 = 22101221112093 and 22101221112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31595914 + ... + 32287833.

Almost surely, 2^{22101221112120} is an apocalyptic number.

22101221112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101221112120 is an abundant number, since it is smaller than the sum of its proper divisors (52119556151760).

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

22101221112120 is a wasteful number, since it uses less digits than its factorization.

22101221112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63883826 (or 63883788 counting only the distinct ones).

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

Adding to 22101221112120 its reverse (2121112210122), we get a palindrome (24222333322242).

The spelling of 22101221112120 in words is "twenty-two trillion, one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".