10002100120100 has 72 divisors (see below), whose sum is σ = 23687616187200. Its totient is φ = 3635603913600.

The previous prime is 10002100120097. The next prime is 10002100120139. The reversal of 10002100120100 is 102100120001.

10002100120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 724841 + ... + 4530959.

Almost surely, 2^{10002100120100} is an apocalyptic number.

10002100120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002100120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11843808093600).

10002100120100 is an abundant number, since it is smaller than the sum of its proper divisors (13685516067100).

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

10002100120100 is a wasteful number, since it uses less digits than its factorization.

10002100120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808533 (or 3808526 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10002100120100 its reverse (102100120001), we get a palindrome (10104200240101).

Subtracting from 10002100120100 its reverse (102100120001), we obtain a palindrome (9900000000099).

The spelling of 10002100120100 in words is "ten trillion, two billion, one hundred million, one hundred twenty thousand, one hundred".