101352396096 has 224 divisors, whose sum is σ = 342259188480. Its totient is φ = 28810156032.

The previous prime is 101352396023. The next prime is 101352396097. The reversal of 101352396096 is 690693253101.

101352396096 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 5 + 2 + 39 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101352396097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2361646 + ... + 2404178.

Almost surely, 2^101352396096 is an apocalyptic number.

101352396096 is a gapful number since it is divisible by the number (16) 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 101352396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171129594240).

101352396096 is an abundant number, since it is smaller than the sum of its proper divisors (240906792384).

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

101352396096 is a wasteful number, since it uses less digits than its factorization.

101352396096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42758 (or 42742 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 101352396096 in words is "one hundred one billion, three hundred fifty-two million, three hundred ninety-six thousand, ninety-six".