100210020022120 has 16 divisors (see below), whose sum is σ = 225472545049860. Its totient is φ = 40084008008832.

The previous prime is 100210020022081. The next prime is 100210020022139. The reversal of 100210020022120 is 21220020012001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100107108665316 + 102911356804 = 10005354^2 + 320798^2 .

It is a super-2 number, since 2×100210020022120² (a number of 29 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 100210020022120.

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, 1252625250237 + ... + 1252625250316.

Almost surely, 2^{100210020022120} is an apocalyptic number.

100210020022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210020022120 is an abundant number, since it is smaller than the sum of its proper divisors (125262525027740).

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

100210020022120 is a wasteful number, since it uses less digits than its factorization.

100210020022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505250500564 (or 2505250500560 counting only the distinct ones).

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

Adding to 100210020022120 its reverse (21220020012001), we get a palindrome (121430040034121).

The spelling of 100210020022120 in words is "one hundred trillion, two hundred ten billion, twenty million, twenty-two thousand, one hundred twenty".