10010001024 has 96 divisors (see below), whose sum is σ = 28828300800. Its totient is φ = 3333947904.

The previous prime is 10010001017. The next prime is 10010001073. The reversal of 10010001024 is 42010001001.

It is a happy number.

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

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 = 10010000997 and 10010001015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1816257 + ... + 1821759.

It is an arithmetic number, because the mean of its divisors is an integer number (300294800).

Almost surely, 2^10010001024 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 10010001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414150400).

10010001024 is an abundant number, since it is smaller than the sum of its proper divisors (18818299776).

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

10010001024 is a wasteful number, since it uses less digits than its factorization.

10010001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102 (or 7087 counting only the distinct ones).

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

Adding to 10010001024 its reverse (42010001001), we get a palindrome (52020002025).

The spelling of 10010001024 in words is "ten billion, ten million, one thousand, twenty-four".