10100984942800 has 60 divisors (see below), whose sum is σ = 24269223231436. Its totient is φ = 4040126438400.

The previous prime is 10100984942767. The next prime is 10100984942857. The reversal of 10100984942800 is 824948900101.

It can be written as a sum of positive squares in 6 ways, for example, as 257304591504 + 9843680351296 = 507252^2 + 3137464^2 .

It is a congruent number.

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, 5267962 + ... + 6924838.

Almost surely, 2^{10100984942800} is an apocalyptic number.

10100984942800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100984942800 is an abundant number, since it is smaller than the sum of its proper divisors (14168238288636).

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

10100984942800 is a wasteful number, since it uses less digits than its factorization.

10100984942800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672136 (or 1672125 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 10100984942800 in words is "ten trillion, one hundred billion, nine hundred eighty-four million, nine hundred forty-two thousand, eight hundred".