10010000202000 has 320 divisors, whose sum is σ = 33161597164800. Its totient is φ = 2595846758400.

The previous prime is 10010000201933. The next prime is 10010000202071. The reversal of 10010000202000 is 20200001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10010000202000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472627411 + ... + 472648589.

It is an arithmetic number, because the mean of its divisors is an integer number (103629991140).

Almost surely, 2^{10010000202000} is an apocalyptic number.

10010000202000 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 10010000202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580798582400).

10010000202000 is an abundant number, since it is smaller than the sum of its proper divisors (23151596962800).

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

10010000202000 is a wasteful number, since it uses less digits than its factorization.

10010000202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23371 (or 23355 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10010000202000 its reverse (20200001001), we get a palindrome (10030200203001).

The spelling of 10010000202000 in words is "ten trillion, ten billion, two hundred two thousand".