10204100402000 has 160 divisors (see below), whose sum is σ = 25111648823040. Its totient is φ = 4009501478400.

The previous prime is 10204100401993. The next prime is 10204100402003. The reversal of 10204100402000 is 20400140201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204100402003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47999942 + ... + 48212058.

It is an arithmetic number, because the mean of its divisors is an integer number (156947805144).

Almost surely, 2^{10204100402000} is an apocalyptic number.

10204100402000 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 10204100402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555824411520).

10204100402000 is an abundant number, since it is smaller than the sum of its proper divisors (14907548421040).

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

10204100402000 is a wasteful number, since it uses less digits than its factorization.

10204100402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212566 (or 212550 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10204100402000 its reverse (20400140201), we get a palindrome (10224500542201).

The spelling of 10204100402000 in words is "ten trillion, two hundred four billion, one hundred million, four hundred two thousand".