10122002112100 has 18 divisors (see below), whose sum is σ = 21964744583474. Its totient is φ = 4048800844800.

The previous prime is 10122002112097. The next prime is 10122002112109. The reversal of 10122002112100 is 121120022101.

10122002112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9869230336 + 10112132881764 = 99344^2 + 3179958^2 .

It is not an unprimeable number, because it can be changed into a prime (10122002112109) 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, 50610010461 + ... + 50610010660.

Almost surely, 2^{10122002112100} is an apocalyptic number.

10122002112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122002112100 is an abundant number, since it is smaller than the sum of its proper divisors (11842742471374).

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

10122002112100 is a wasteful number, since it uses less digits than its factorization.

10122002112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101220021135 (or 101220021128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10122002112100 its reverse (121120022101), we get a palindrome (10243122134201).

The spelling of 10122002112100 in words is "ten trillion, one hundred twenty-two billion, two million, one hundred twelve thousand, one hundred".