10121137920 has 720 divisors, whose sum is σ = 38748745728. Its totient is φ = 2518179840.

The previous prime is 10121137883. The next prime is 10121137921. The reversal of 10121137920 is 2973112101.

It is a tau number, because it is divible by the number of its divisors (720).

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 (10121137921) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 151061727 + ... + 151061793.

Almost surely, 2^10121137920 is an apocalyptic number.

10121137920 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 10121137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19374372864).

10121137920 is an abundant number, since it is smaller than the sum of its proper divisors (28627607808).

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

10121137920 is an equidigital number, since it uses as much as digits as its factorization.

10121137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 10121137920 in words is "ten billion, one hundred twenty-one million, one hundred thirty-seven thousand, nine hundred twenty".