100135530000 has 600 divisors, whose sum is σ = 391500004896. Its totient is φ = 23673600000.

The previous prime is 100135529993. The next prime is 100135530017. The reversal of 100135530000 is 35531001.

It is a happy number.

100135530000 is a `hidden beast` number, since 1 + 0 + 0 + 135 + 530 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40588767 + ... + 40591233.

Almost surely, 2^100135530000 is an apocalyptic number.

100135530000 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 100135530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195750002448).

100135530000 is an abundant number, since it is smaller than the sum of its proper divisors (291364474896).

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

100135530000 is a wasteful number, since it uses less digits than its factorization.

100135530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The spelling of 100135530000 in words is "one hundred billion, one hundred thirty-five million, five hundred thirty thousand".