10100001024 has 144 divisors (see below), whose sum is σ = 30068384640. Its totient is φ = 3344025600.

The previous prime is 10100001001. The next prime is 10100001059. The reversal of 10100001024 is 42010000101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 10100000997 and 10100001015.

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, 1038874 + ... + 1048550.

Almost surely, 2^10100001024 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 10100001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034192320).

10100001024 is an abundant number, since it is smaller than the sum of its proper divisors (19968383616).

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

10100001024 is an equidigital number, since it uses as much as digits as its factorization.

10100001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9853 (or 9833 counting only the distinct ones).

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

Adding to 10100001024 its reverse (42010000101), we get a palindrome (52110001125).

The spelling of 10100001024 in words is "ten billion, one hundred million, one thousand, twenty-four".