10121345920 has 96 divisors (see below), whose sum is σ = 28146853080. Its totient is φ = 3470164992.

The previous prime is 10121345917. The next prime is 10121345953. The reversal of 10121345920 is 2954312101.

10121345920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130014 + ... + 192733.

Almost surely, 2^10121345920 is an apocalyptic number.

10121345920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121345920 is an abundant number, since it is smaller than the sum of its proper divisors (18025507160).

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

10121345920 is an equidigital number, since it uses as much as digits as its factorization.

10121345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322780 (or 322761 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10121345920 in words is "ten billion, one hundred twenty-one million, three hundred forty-five thousand, nine hundred twenty".