100100601101160 has 384 divisors, whose sum is σ = 356845664747520. Its totient is φ = 24133982400000.

The previous prime is 100100601101159. The next prime is 100100601101161. The reversal of 100100601101160 is 61101106001001.

100100601101160 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 0 + 601 + 1 + 0 + 1 + 1 + 60 = 666.

100100601101160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100100601101159) and next prime (100100601101161).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100100601101161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3744724995 + ... + 3744751725.

It is an arithmetic number, because the mean of its divisors is an integer number (929285585280).

Almost surely, 2^{100100601101160} is an apocalyptic number.

100100601101160 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 100100601101160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178422832373760).

100100601101160 is an abundant number, since it is smaller than the sum of its proper divisors (256745063646360).

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

100100601101160 is a wasteful number, since it uses less digits than its factorization.

100100601101160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31901 (or 31894 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 100100601101160 its reverse (61101106001001), we get a palindrome (161201707102161).

The spelling of 100100601101160 in words is "one hundred trillion, one hundred billion, six hundred one million, one hundred one thousand, one hundred sixty".