10100213232 has 80 divisors (see below), whose sum is σ = 26852462880. Its totient is φ = 3269016576.

The previous prime is 10100213231. The next prime is 10100213251. The reversal of 10100213232 is 23231200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100213231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898398 + ... + 909570.

It is an arithmetic number, because the mean of its divisors is an integer number (335655786).

Almost surely, 2^10100213232 is an apocalyptic number.

10100213232 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 10100213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426231440).

10100213232 is an abundant number, since it is smaller than the sum of its proper divisors (16752249648).

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

10100213232 is a wasteful number, since it uses less digits than its factorization.

10100213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11730 (or 11724 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10100213232 its reverse (23231200101), we get a palindrome (33331413333).

The spelling of 10100213232 in words is "ten billion, one hundred million, two hundred thirteen thousand, two hundred thirty-two".