101135005600 has 72 divisors (see below), whose sum is σ = 247236863328. Its totient is φ = 40398124800.

The previous prime is 101135005579. The next prime is 101135005607. The reversal of 101135005600 is 6500531101.

It is not an unprimeable number, because it can be changed into a prime (101135005607) 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 11 ways as a sum of consecutive naturals, for example, 494655 + ... + 668545.

It is an arithmetic number, because the mean of its divisors is an integer number (3433845324).

Almost surely, 2^101135005600 is an apocalyptic number.

101135005600 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 101135005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123618431664).

101135005600 is an abundant number, since it is smaller than the sum of its proper divisors (146101857728).

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

101135005600 is a wasteful number, since it uses less digits than its factorization.

101135005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174638 (or 174625 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 101135005600 its reverse (6500531101), we get a palindrome (107635536701).

The spelling of 101135005600 in words is "one hundred one billion, one hundred thirty-five million, five thousand, six hundred".