10022100202120 has 16 divisors (see below), whose sum is σ = 22549725454860. Its totient is φ = 4008840080832.

The previous prime is 10022100202099. The next prime is 10022100202141. The reversal of 10022100202120 is 2120200122001.

It is a happy number.

10022100202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10022100202099) and next prime (10022100202141).

It can be written as a sum of positive squares in 2 ways, for example, as 9882862264804 + 139237937316 = 3143702^2 + 373146^2 .

It is a super-2 number, since 2×10022100202120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10022100202120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125276252487 + ... + 125276252566.

Almost surely, 2^{10022100202120} is an apocalyptic number.

10022100202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022100202120 is an abundant number, since it is smaller than the sum of its proper divisors (12527625252740).

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

10022100202120 is a wasteful number, since it uses less digits than its factorization.

10022100202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250552505064 (or 250552505060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10022100202120 its reverse (2120200122001), we get a palindrome (12142300324121).

The spelling of 10022100202120 in words is "ten trillion, twenty-two billion, one hundred million, two hundred two thousand, one hundred twenty".