101130960960 has 168 divisors, whose sum is σ = 348063555840. Its totient is φ = 26951574528.

The previous prime is 101130960937. The next prime is 101130960991. The reversal of 101130960960 is 69069031101.

101130960960 is a `hidden beast` number, since 1 + 0 + 11 + 30 + 9 + 609 + 6 + 0 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5055939 + ... + 5075901.

It is an arithmetic number, because the mean of its divisors is an integer number (2071806880).

Almost surely, 2^101130960960 is an apocalyptic number.

101130960960 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 101130960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174031777920).

101130960960 is an abundant number, since it is smaller than the sum of its proper divisors (246932594880).

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

101130960960 is a wasteful number, since it uses less digits than its factorization.

101130960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21745 (or 21732 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 101130960960 in words is "one hundred one billion, one hundred thirty million, nine hundred sixty thousand, nine hundred sixty".