10001100024 has 64 divisors (see below), whose sum is σ = 27841113600. Its totient is φ = 3326466528.

The previous prime is 10001100019. The next prime is 10001100041. The reversal of 10001100024 is 42000110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001099979 and 10001100015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50007 + ... + 150009.

It is an arithmetic number, because the mean of its divisors is an integer number (435017400).

Almost surely, 2^10001100024 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 10001100024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920556800).

10001100024 is an abundant number, since it is smaller than the sum of its proper divisors (17840013576).

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

10001100024 is a wasteful number, since it uses less digits than its factorization.

10001100024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100481 (or 100471 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001100024 its reverse (42000110001), we get a palindrome (52001210025).

The spelling of 10001100024 in words is "ten billion, one million, one hundred thousand, twenty-four".