2232002032100 has 36 divisors (see below), whose sum is σ = 4845686176548. Its totient is φ = 892387584000.

The previous prime is 2232002032093. The next prime is 2232002032123. The reversal of 2232002032100 is 12302002322.

It can be written as a sum of positive squares in 6 ways, for example, as 254558593444 + 1977443438656 = 504538^2 + 1406216^2 .

It is a super-3 number, since 3×2232002032100³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4948181 + ... + 5380380.

It is an arithmetic number, because the mean of its divisors is an integer number (134602393793).

Almost surely, 2^{2232002032100} is an apocalyptic number.

2232002032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232002032100 is an abundant number, since it is smaller than the sum of its proper divisors (2613684144448).

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

2232002032100 is a wasteful number, since it uses less digits than its factorization.

2232002032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330736 (or 10330729 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2232002032100 its reverse (12302002322), we get a palindrome (2244304034422).

The spelling of 2232002032100 in words is "two trillion, two hundred thirty-two billion, two million, thirty-two thousand, one hundred".