10002020010000 has 200 divisors, whose sum is σ = 32304762092064. Its totient is φ = 2665808640000.

The previous prime is 10002020009951. The next prime is 10002020010019. The reversal of 10002020010000 is 1002020001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57843672 + ... + 58016328.

Almost surely, 2^{10002020010000} is an apocalyptic number.

10002020010000 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 10002020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152381046032).

10002020010000 is an abundant number, since it is smaller than the sum of its proper divisors (22302742082064).

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

10002020010000 is a wasteful number, since it uses less digits than its factorization.

10002020010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174619 (or 174598 counting only the distinct ones).

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

Adding to 10002020010000 its reverse (1002020001), we get a palindrome (10003022030001).

The spelling of 10002020010000 in words is "ten trillion, two billion, twenty million, ten thousand".