10002100101000 has 256 divisors, whose sum is σ = 36534503416320. Its totient is φ = 2230433280000.

The previous prime is 10002100100981. The next prime is 10002100101023. The reversal of 10002100101000 is 10100120001.

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 10002100101000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4947421 + ... + 6669420.

It is an arithmetic number, because the mean of its divisors is an integer number (142712903970).

Almost surely, 2^{10002100101000} is an apocalyptic number.

10002100101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002100101000 is an abundant number, since it is smaller than the sum of its proper divisors (26532403315320).

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

10002100101000 is a wasteful number, since it uses less digits than its factorization.

10002100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11616913 (or 11616899 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10002100101000 its reverse (10100120001), we get a palindrome (10012200221001).

The spelling of 10002100101000 in words is "ten trillion, two billion, one hundred million, one hundred one thousand".