101117920320 has 448 divisors, whose sum is σ = 378627436800. Its totient is φ = 25316720640.

The previous prime is 101117920313. The next prime is 101117920327. The reversal of 101117920320 is 23029711101.

It is an interprime number because it is at equal distance from previous prime (101117920313) and next prime (101117920327).

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

It is not an unprimeable number, because it can be changed into a prime (101117920327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104137435 + ... + 104138405.

Almost surely, 2^101117920320 is an apocalyptic number.

101117920320 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 101117920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189313718400).

101117920320 is an abundant number, since it is smaller than the sum of its proper divisors (277509516480).

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

101117920320 is a wasteful number, since it uses less digits than its factorization.

101117920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 101117920320 in words is "one hundred one billion, one hundred seventeen million, nine hundred twenty thousand, three hundred twenty".