220120100201120 has 72 divisors (see below), whose sum is σ = 604937203967124. Its totient is φ = 75469748637696.

The previous prime is 220120100201059. The next prime is 220120100201123. The reversal of 220120100201120 is 21102001021022.

It can be written as a sum of positive squares in 2 ways, for example, as 215237184689296 + 4882915511824 = 14670964^2 + 2209732^2 .

It is a super-2 number, since 2×220120100201120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 220120100201095 and 220120100201104.

It is not an unprimeable number, because it can be changed into a prime (220120100201123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14038263857 + ... + 14038279536.

Almost surely, 2^{220120100201120} is an apocalyptic number.

220120100201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120100201120 is an abundant number, since it is smaller than the sum of its proper divisors (384817103766004).

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

220120100201120 is a wasteful number, since it uses less digits than its factorization.

220120100201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28076543422 (or 28076543407 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220120100201120 its reverse (21102001021022), we get a palindrome (241222101222142).

The spelling of 220120100201120 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred million, two hundred one thousand, one hundred twenty".