110000101110960 has 240 divisors, whose sum is σ = 359941271927040. Its totient is φ = 27785717660160.

The previous prime is 110000101110947. The next prime is 110000101110961. The reversal of 110000101110960 is 69011101000011.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (110000101110961) 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, 666265701 + ... + 666430779.

It is an arithmetic number, because the mean of its divisors is an integer number (1499755299696).

Almost surely, 2^{110000101110960} is an apocalyptic number.

110000101110960 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 110000101110960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179970635963520).

110000101110960 is an abundant number, since it is smaller than the sum of its proper divisors (249941170816080).

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

110000101110960 is a wasteful number, since it uses less digits than its factorization.

110000101110960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172824 (or 172799 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 21.

Adding to 110000101110960 its reverse (69011101000011), we get a palindrome (179011202110971).

The spelling of 110000101110960 in words is "one hundred ten trillion, one hundred one million, one hundred ten thousand, nine hundred sixty".