10122102203100 has 72 divisors (see below), whose sum is σ = 29331057275520. Its totient is φ = 2695131257280.

The previous prime is 10122102203041. The next prime is 10122102203141. The reversal of 10122102203100 is 130220122101.

10122102203100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10122102203100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122102203100.

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, 25401952 + ... + 25797351.

Almost surely, 2^{10122102203100} is an apocalyptic number.

10122102203100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122102203100 is an abundant number, since it is smaller than the sum of its proper divisors (19208955072420).

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

10122102203100 is a wasteful number, since it uses less digits than its factorization.

10122102203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51199979 (or 51199972 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10122102203100 its reverse (130220122101), we get a palindrome (10252322325201).

The spelling of 10122102203100 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, two hundred three thousand, one hundred".