101100505560 has 128 divisors (see below), whose sum is σ = 320356512000. Its totient is φ = 25453840896.

The previous prime is 101100505559. The next prime is 101100505591. The reversal of 101100505560 is 65505001101.

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 101100505560.

It is a congruent number.

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, 592371 + ... + 743709.

It is an arithmetic number, because the mean of its divisors is an integer number (2502785250).

Almost surely, 2^101100505560 is an apocalyptic number.

101100505560 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 101100505560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160178256000).

101100505560 is an abundant number, since it is smaller than the sum of its proper divisors (219256006440).

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

101100505560 is a wasteful number, since it uses less digits than its factorization.

101100505560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151665 (or 151661 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 101100505560 its reverse (65505001101), we get a palindrome (166605506661).

The spelling of 101100505560 in words is "one hundred one billion, one hundred million, five hundred five thousand, five hundred sixty".