10100100202000 has 80 divisors (see below), whose sum is σ = 24424151611392. Its totient is φ = 4039691145600.

The previous prime is 10100100201977. The next prime is 10100100202063. The reversal of 10100100202000 is 20200100101.

10100100202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23593867 + ... + 24018133.

Almost surely, 2^{10100100202000} is an apocalyptic number.

10100100202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100100202000 is an abundant number, since it is smaller than the sum of its proper divisors (14324051409392).

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

10100100202000 is a wasteful number, since it uses less digits than its factorization.

10100100202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436193 (or 436177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10100100202000 its reverse (20200100101), we get a palindrome (10120300302101).

The spelling of 10100100202000 in words is "ten trillion, one hundred billion, one hundred million, two hundred two thousand".