10100248590720 has 256 divisors, whose sum is σ = 32833091059200. Its totient is φ = 2640237625344.

The previous prime is 10100248590709. The next prime is 10100248590769. The reversal of 10100248590720 is 2709584200101.

10100248590720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39861549 + ... + 40114131.

It is an arithmetic number, because the mean of its divisors is an integer number (128254261950).

Almost surely, 2^{10100248590720} is an apocalyptic number.

10100248590720 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 10100248590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416545529600).

10100248590720 is an abundant number, since it is smaller than the sum of its proper divisors (22732842468480).

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

10100248590720 is a wasteful number, since it uses less digits than its factorization.

10100248590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253017 (or 253005 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10100248590720 in words is "ten trillion, one hundred billion, two hundred forty-eight million, five hundred ninety thousand, seven hundred twenty".