101159011996800 has 384 divisors, whose sum is σ = 334557623400000. Its totient is φ = 26865362534400.

The previous prime is 101159011996759. The next prime is 101159011996807. The reversal of 101159011996800 is 8699110951101.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (101159011996807) 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, 3681039060 + ... + 3681066540.

Almost surely, 2^{101159011996800} is an apocalyptic number.

101159011996800 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 101159011996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167278811700000).

101159011996800 is an abundant number, since it is smaller than the sum of its proper divisors (233398611403200).

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

101159011996800 is a wasteful number, since it uses less digits than its factorization.

101159011996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29064 (or 29047 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 51.

The spelling of 101159011996800 in words is "one hundred one trillion, one hundred fifty-nine billion, eleven million, nine hundred ninety-six thousand, eight hundred".