101096002560 has 1408 divisors, whose sum is σ = 427861647360. Its totient is φ = 19818086400.

The previous prime is 101096002547. The next prime is 101096002573. The reversal of 101096002560 is 65200690101.

101096002560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101096002547) and next prime (101096002573).

It is a super-2 number, since 2×101096002560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1423887325 + ... + 1423887395.

Almost surely, 2^101096002560 is an apocalyptic number.

101096002560 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 101096002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213930823680).

101096002560 is an abundant number, since it is smaller than the sum of its proper divisors (326765644800).

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

101096002560 is a wasteful number, since it uses less digits than its factorization.

101096002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

Adding to 101096002560 its reverse (65200690101), we get a palindrome (166296692661).

The spelling of 101096002560 in words is "one hundred one billion, ninety-six million, two thousand, five hundred sixty".