10120212022100 has 18 divisors (see below), whose sum is σ = 21960860088174. Its totient is φ = 4048084808800.

The previous prime is 10120212022091. The next prime is 10120212022103. The reversal of 10120212022100 is 122021202101.

It can be written as a sum of positive squares in 3 ways, for example, as 410045561104 + 9710166460996 = 640348^2 + 3116114^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120212022103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50601060011 + ... + 50601060210.

Almost surely, 2^{10120212022100} is an apocalyptic number.

10120212022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120212022100 is an abundant number, since it is smaller than the sum of its proper divisors (11840648066074).

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

10120212022100 is a wasteful number, since it uses less digits than its factorization.

10120212022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101202120235 (or 101202120228 counting only the distinct ones).

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

Adding to 10120212022100 its reverse (122021202101), we get a palindrome (10242233224201).

The spelling of 10120212022100 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, twenty-two thousand, one hundred".