101110110160 has 80 divisors (see below), whose sum is σ = 241556052816. Its totient is φ = 39331160064.

The previous prime is 101110110139. The next prime is 101110110161. The reversal of 101110110160 is 61011011101.

It can be written as a sum of positive squares in 8 ways, for example, as 9381084736 + 91729025424 = 96856^2 + 302868^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 101110110160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110110161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6779832 + ... + 6794728.

Almost surely, 2^101110110160 is an apocalyptic number.

101110110160 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 101110110160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120778026408).

101110110160 is an abundant number, since it is smaller than the sum of its proper divisors (140445942656).

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

101110110160 is a wasteful number, since it uses less digits than its factorization.

101110110160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17240 (or 17234 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101110110160 its reverse (61011011101), we get a palindrome (162121121261).

The spelling of 101110110160 in words is "one hundred one billion, one hundred ten million, one hundred ten thousand, one hundred sixty".