10202100020000 has 240 divisors, whose sum is σ = 29351316722112. Its totient is φ = 3416515200000.

The previous prime is 10202100019999. The next prime is 10202100020003. The reversal of 10202100020000 is 2000120201.

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 10202100020000.

It is not an unprimeable number, because it can be changed into a prime (10202100020003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5172650 + ... + 6867350.

Almost surely, 2^{10202100020000} is an apocalyptic number.

10202100020000 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 10202100020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14675658361056).

10202100020000 is an abundant number, since it is smaller than the sum of its proper divisors (19149216702112).

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

10202100020000 is an equidigital number, since it uses as much as digits as its factorization.

10202100020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694781 (or 1694758 counting only the distinct ones).

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

Adding to 10202100020000 its reverse (2000120201), we get a palindrome (10204100140201).

The spelling of 10202100020000 in words is "ten trillion, two hundred two billion, one hundred million, twenty thousand".