10022102100100 has 72 divisors (see below), whose sum is σ = 23182371094400. Its totient is φ = 3749775120000.

The previous prime is 10022102100083. The next prime is 10022102100191. The reversal of 10022102100100 is 100120122001.

10022102100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 33234651 + ... + 33534850.

Almost surely, 2^{10022102100100} is an apocalyptic number.

10022102100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022102100100 is an abundant number, since it is smaller than the sum of its proper divisors (13160268994300).

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

10022102100100 is a wasteful number, since it uses less digits than its factorization.

10022102100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66769613 (or 66769606 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10022102100100 its reverse (100120122001), we get a palindrome (10122222222101).

The spelling of 10022102100100 in words is "ten trillion, twenty-two billion, one hundred two million, one hundred thousand, one hundred".