101135032560 has 240 divisors, whose sum is σ = 344117302464. Its totient is φ = 26616066048.

The previous prime is 101135032513. The next prime is 101135032561. The reversal of 101135032560 is 65230531101.

101135032560 is a `hidden beast` number, since 10 + 1 + 13 + 50 + 32 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101135032561) 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, 23209902 + ... + 23214258.

Almost surely, 2^101135032560 is an apocalyptic number.

101135032560 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 101135032560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172058651232).

101135032560 is an abundant number, since it is smaller than the sum of its proper divisors (242982269904).

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

101135032560 is a wasteful number, since it uses less digits than its factorization.

101135032560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 101135032560 its reverse (65230531101), we get a palindrome (166365563661).

The spelling of 101135032560 in words is "one hundred one billion, one hundred thirty-five million, thirty-two thousand, five hundred sixty".