10100056051320 has 192 divisors, whose sum is σ = 32059087441920. Its totient is φ = 2542892160000.

The previous prime is 10100056051117. The next prime is 10100056051321. The reversal of 10100056051320 is 2315065000101.

It is a super-2 number, since 2×10100056051320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100056051321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5445745 + ... + 7060895.

It is an arithmetic number, because the mean of its divisors is an integer number (166974413760).

Almost surely, 2^{10100056051320} is an apocalyptic number.

10100056051320 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 10100056051320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16029543720960).

10100056051320 is an abundant number, since it is smaller than the sum of its proper divisors (21959031390600).

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

10100056051320 is a wasteful number, since it uses less digits than its factorization.

10100056051320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615278 (or 1615233 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 10100056051320 in words is "ten trillion, one hundred billion, fifty-six million, fifty-one thousand, three hundred twenty".