10007901120 has 336 divisors, whose sum is σ = 38160764928. Its totient is φ = 2213406720.

The previous prime is 10007901083. The next prime is 10007901187. The reversal of 10007901120 is 2110970001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454809 + ... + 1461671.

Almost surely, 2^10007901120 is an apocalyptic number.

10007901120 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 10007901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19080382464).

10007901120 is an abundant number, since it is smaller than the sum of its proper divisors (28152863808).

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

10007901120 is a wasteful number, since it uses less digits than its factorization.

10007901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The spelling of 10007901120 in words is "ten billion, seven million, nine hundred one thousand, one hundred twenty".