10100133024 has 96 divisors (see below), whose sum is σ = 28095076800. Its totient is φ = 3166113792.

The previous prime is 10100132989. The next prime is 10100133061. The reversal of 10100133024 is 42033100101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10100132994 and 10100133012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3740827 + ... + 3743525.

It is an arithmetic number, because the mean of its divisors is an integer number (292657050).

Almost surely, 2^10100133024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047538400).

10100133024 is an abundant number, since it is smaller than the sum of its proper divisors (17994943776).

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

10100133024 is a wasteful number, since it uses less digits than its factorization.

10100133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10100133024 its reverse (42033100101), we get a palindrome (52133233125).

The spelling of 10100133024 in words is "ten billion, one hundred million, one hundred thirty-three thousand, twenty-four".