10202002010000 has 50 divisors (see below), whose sum is σ = 24700067090622. Its totient is φ = 4080800800000.

The previous prime is 10202002009993. The next prime is 10202002010003. The reversal of 10202002010000 is 1020020201.

10202002010000 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 5 ways, for example, as 5088958480384 + 5113043529616 = 2255872^2 + 2261204^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10202002010000.

It is not an unprimeable number, because it can be changed into a prime (10202002010003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 510090101 + ... + 510110100.

Almost surely, 2^{10202002010000} is an apocalyptic number.

10202002010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202002010000 is an abundant number, since it is smaller than the sum of its proper divisors (14498065080622).

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

10202002010000 is an equidigital number, since it uses as much as digits as its factorization.

10202002010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020200229 (or 1020200208 counting only the distinct ones).

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

Adding to 10202002010000 its reverse (1020020201), we get a palindrome (10203022030201).

The spelling of 10202002010000 in words is "ten trillion, two hundred two billion, two million, ten thousand".