10001370931200 has 1680 divisors, whose sum is σ = 42192886196736. Its totient is φ = 2318185267200.

The previous prime is 10001370931151. The next prime is 10001370931207. The reversal of 10001370931200 is 213907310001.

10001370931200 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 370 + 93 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001370931207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4196965209 + ... + 4196967591.

Almost surely, 2^{10001370931200} is an apocalyptic number.

10001370931200 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 10001370931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21096443098368).

10001370931200 is an abundant number, since it is smaller than the sum of its proper divisors (32191515265536).

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

10001370931200 is a wasteful number, since it uses less digits than its factorization.

10001370931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 10001370931200 in words is "ten trillion, one billion, three hundred seventy million, nine hundred thirty-one thousand, two hundred".