101265110160 has 160 divisors (see below), whose sum is σ = 330638837760. Its totient is φ = 25567686144.

The previous prime is 101265110137. The next prime is 101265110197. The reversal of 101265110160 is 61011562101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101265110160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9128137 + ... + 9139223.

It is an arithmetic number, because the mean of its divisors is an integer number (2066492736).

Almost surely, 2^101265110160 is an apocalyptic number.

101265110160 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 101265110160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165319418880).

101265110160 is an abundant number, since it is smaller than the sum of its proper divisors (229373727600).

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

101265110160 is a wasteful number, since it uses less digits than its factorization.

101265110160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13125 (or 13119 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 101265110160 its reverse (61011562101), we get a palindrome (162276672261).

The spelling of 101265110160 in words is "one hundred one billion, two hundred sixty-five million, one hundred ten thousand, one hundred sixty".