10210421791152 has 480 divisors, whose sum is σ = 32719574384640. Its totient is φ = 2942173048320.

The previous prime is 10210421791139. The next prime is 10210421791169. The reversal of 10210421791152 is 25119712401201.

It is a happy number.

10210421791152 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 421 + 79 + 1 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 5804673249 + ... + 5804675007.

It is an arithmetic number, because the mean of its divisors is an integer number (68165779968).

Almost surely, 2^{10210421791152} is an apocalyptic number.

10210421791152 is a gapful number since it is divisible by the number (12) 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 10210421791152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16359787192320).

10210421791152 is an abundant number, since it is smaller than the sum of its proper divisors (22509152593488).

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

10210421791152 is a wasteful number, since it uses less digits than its factorization.

10210421791152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 10210421791152 in words is "ten trillion, two hundred ten billion, four hundred twenty-one million, seven hundred ninety-one thousand, one hundred fifty-two".