101155968000 has 528 divisors, whose sum is σ = 366992939664. Its totient is φ = 26792755200.

The previous prime is 101155967999. The next prime is 101155968073. The reversal of 101155968000 is 869551101.

101155968000 is a `hidden beast` number, since 10 + 11 + 559 + 6 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 76760027136 + 24395940864 = 277056^2 + 156192^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319103842 + ... + 319104158.

Almost surely, 2^101155968000 is an apocalyptic number.

101155968000 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 101155968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183496469832).

101155968000 is an abundant number, since it is smaller than the sum of its proper divisors (265836971664).

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

101155968000 is a wasteful number, since it uses less digits than its factorization.

101155968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 101155968000 in words is "one hundred one billion, one hundred fifty-five million, nine hundred sixty-eight thousand".