10100032002 has 12 divisors (see below), whose sum is σ = 21883402710. Its totient is φ = 3366677328.

The previous prime is 10100031971. The next prime is 10100032013. The reversal of 10100032002 is 20023000101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10002200121 + 97831881 = 100011^2 + 9891^2 .

It is a super-3 number, since 3×10100032002³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280556427 + ... + 280556462.

Almost surely, 2^10100032002 is an apocalyptic number.

10100032002 is an abundant number, since it is smaller than the sum of its proper divisors (11783370708).

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

10100032002 is a wasteful number, since it uses less digits than its factorization.

10100032002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561112897 (or 561112894 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10100032002 its reverse (20023000101), we get a palindrome (30123032103).

The spelling of 10100032002 in words is "ten billion, one hundred million, thirty-two thousand, two".