10002010012100 has 72 divisors (see below), whose sum is σ = 21923422701768. Its totient is φ = 3960439168000.

The previous prime is 10002010012097. The next prime is 10002010012139. The reversal of 10002010012100 is 121001020001.

It can be written as a sum of positive squares in 12 ways, for example, as 218739548416 + 9783270463684 = 467696^2 + 3127822^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54620294 + ... + 54803106.

It is an arithmetic number, because the mean of its divisors is an integer number (304491981969).

Almost surely, 2^{10002010012100} is an apocalyptic number.

10002010012100 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 10002010012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961711350884).

10002010012100 is an abundant number, since it is smaller than the sum of its proper divisors (11921412689668).

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

10002010012100 is a wasteful number, since it uses less digits than its factorization.

10002010012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188345 (or 188338 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10002010012100 its reverse (121001020001), we get a palindrome (10123011032101).

The spelling of 10002010012100 in words is "ten trillion, two billion, ten million, twelve thousand, one hundred".