10200001012100 has 36 divisors (see below), whose sum is σ = 22134382035444. Its totient is φ = 4079930388480.

The previous prime is 10200001012093. The next prime is 10200001012139. The reversal of 10200001012100 is 121010000201.

It can be written as a sum of positive squares in 6 ways, for example, as 754754362756 + 9445246649344 = 868766^2 + 3073312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5190272 + ... + 6880328.

It is an arithmetic number, because the mean of its divisors is an integer number (614843945429).

Almost surely, 2^{10200001012100} is an apocalyptic number.

10200001012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200001012100 is an abundant number, since it is smaller than the sum of its proper divisors (11934381023344).

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

10200001012100 is a wasteful number, since it uses less digits than its factorization.

10200001012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750424 (or 1750417 counting only the distinct ones).

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

Adding to 10200001012100 its reverse (121010000201), we get a palindrome (10321011012301).

The spelling of 10200001012100 in words is "ten trillion, two hundred billion, one million, twelve thousand, one hundred".