202202100110120 has 128 divisors (see below), whose sum is σ = 496838387710080. Its totient is φ = 73450412160000.

The previous prime is 202202100110117. The next prime is 202202100110123. The reversal of 202202100110120 is 21011001202202.

It is an interprime number because it is at equal distance from previous prime (202202100110117) and next prime (202202100110123).

It is a super-2 number, since 2×202202100110120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202202100110095 and 202202100110104.

It is not an unprimeable number, because it can be changed into a prime (202202100110123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650645499 + ... + 2650721781.

It is an arithmetic number, because the mean of its divisors is an integer number (3881549903985).

Almost surely, 2^{202202100110120} is an apocalyptic number.

202202100110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202100110120 is an abundant number, since it is smaller than the sum of its proper divisors (294636287599960).

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

202202100110120 is a wasteful number, since it uses less digits than its factorization.

202202100110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82587 (or 82583 counting only the distinct ones).

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

Adding to 202202100110120 its reverse (21011001202202), we get a palindrome (223213101312322).

The spelling of 202202100110120 in words is "two hundred two trillion, two hundred two billion, one hundred million, one hundred ten thousand, one hundred twenty".