10010200012002 has 48 divisors (see below), whose sum is σ = 21857168806200. Its totient is φ = 3310907443200.

The previous prime is 10010200011983. The next prime is 10010200012039. The reversal of 10010200012002 is 20021000201001.

10010200012002 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 4 ways, for example, as 8789084400321 + 1221115611681 = 2964639^2 + 1105041^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1958649 + ... + 4884332.

Almost surely, 2^{10010200012002} is an apocalyptic number.

10010200012002 is an abundant number, since it is smaller than the sum of its proper divisors (11846968794198).

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

10010200012002 is a wasteful number, since it uses less digits than its factorization.

10010200012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6843619 (or 6843616 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10010200012002 its reverse (20021000201001), we get a palindrome (30031200213003).

The spelling of 10010200012002 in words is "ten trillion, ten billion, two hundred million, twelve thousand, two".