1002100032 has 112 divisors (see below), whose sum is σ = 2954934400. Its totient is φ = 333020160.

The previous prime is 1002100031. The next prime is 1002100091. The reversal of 1002100032 is 2300012001.

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 = 1002099987 and 1002100023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002100031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757932 + ... + 759252.

Almost surely, 2^1002100032 is an apocalyptic number.

1002100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477467200).

1002100032 is an abundant number, since it is smaller than the sum of its proper divisors (1952834368).

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

1002100032 is a wasteful number, since it uses less digits than its factorization.

1002100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1765 counting only the distinct ones).

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

The square root of 1002100032 is about 31655.9636087736. The cubic root of 1002100032 is about 1000.6995212226.

Adding to 1002100032 its reverse (2300012001), we get a palindrome (3302112033).

The spelling of 1002100032 in words is "one billion, two million, one hundred thousand, thirty-two".