10121932800 has 624 divisors, whose sum is σ = 42577473280. Its totient is φ = 2309160960.

The previous prime is 10121932789. The next prime is 10121932811. The reversal of 10121932800 is 823912101.

It is an interprime number because it is at equal distance from previous prime (10121932789) and next prime (10121932811).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19353339 + ... + 19353861.

Almost surely, 2^10121932800 is an apocalyptic number.

10121932800 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 10121932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288736640).

10121932800 is an abundant number, since it is smaller than the sum of its proper divisors (32455540480).

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

10121932800 is an equidigital number, since it uses as much as digits as its factorization.

10121932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10121932800 in words is "ten billion, one hundred twenty-one million, nine hundred thirty-two thousand, eight hundred".