10120110022100 has 72 divisors (see below), whose sum is σ = 23708897226168. Its totient is φ = 3727337472000.

The previous prime is 10120110022069. The next prime is 10120110022111. The reversal of 10120110022100 is 122001102101.

It can be written as a sum of positive squares in 12 ways, for example, as 1566672782224 + 8553437239876 = 1251668^2 + 2924626^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9185309 + ... + 10227908.

Almost surely, 2^{10120110022100} is an apocalyptic number.

10120110022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120110022100 is an abundant number, since it is smaller than the sum of its proper divisors (13588787204068).

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

10120110022100 is a wasteful number, since it uses less digits than its factorization.

10120110022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19413645 (or 19413638 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10120110022100 its reverse (122001102101), we get a palindrome (10242111124201).

The spelling of 10120110022100 in words is "ten trillion, one hundred twenty billion, one hundred ten million, twenty-two thousand, one hundred".