101235104532000 has 1152 divisors, whose sum is σ = 386224596576000. Its totient is φ = 25754567731200.

The previous prime is 101235104531941. The next prime is 101235104532007. The reversal of 101235104532000 is 235401532101.

101235104532000 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 5 + 1 + 0 + 453 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101235104532007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23938305886 + ... + 23938310114.

It is an arithmetic number, because the mean of its divisors is an integer number (335264406750).

Almost surely, 2^{101235104532000} is an apocalyptic number.

101235104532000 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 101235104532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193112298288000).

101235104532000 is an abundant number, since it is smaller than the sum of its proper divisors (284989492044000).

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

101235104532000 is a wasteful number, since it uses less digits than its factorization.

101235104532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 101235104532000 in words is "one hundred one trillion, two hundred thirty-five billion, one hundred four million, five hundred thirty-two thousand".