101060100560 has 80 divisors (see below), whose sum is σ = 239110945920. Its totient is φ = 39712350720.

The previous prime is 101060100529. The next prime is 101060100569. The reversal of 101060100560 is 65001060101.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101060100569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4081979 + ... + 4106661.

It is an arithmetic number, because the mean of its divisors is an integer number (2988886824).

Almost surely, 2^101060100560 is an apocalyptic number.

101060100560 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 101060100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119555472960).

101060100560 is an abundant number, since it is smaller than the sum of its proper divisors (138050845360).

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

101060100560 is a wasteful number, since it uses less digits than its factorization.

101060100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25596 (or 25590 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 101060100560 its reverse (65001060101), we get a palindrome (166061160661).

The spelling of 101060100560 in words is "one hundred one billion, sixty million, one hundred thousand, five hundred sixty".