10233001110100 has 72 divisors (see below), whose sum is σ = 22364108839800. Its totient is φ = 4064084090880.

The previous prime is 10233001110037. The next prime is 10233001110103. The reversal of 10233001110100 is 101110033201.

It can be written as a sum of positive squares in 12 ways, for example, as 8209176207556 + 2023824902544 = 2865166^2 + 1422612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233001110103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7602826 + ... + 8846974.

It is an arithmetic number, because the mean of its divisors is an integer number (310612622775).

Almost surely, 2^{10233001110100} is an apocalyptic number.

10233001110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233001110100 is an abundant number, since it is smaller than the sum of its proper divisors (12131107729700).

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

10233001110100 is a wasteful number, since it uses less digits than its factorization.

10233001110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244749 (or 1244742 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10233001110100 its reverse (101110033201), we get a palindrome (10334111143301).

The spelling of 10233001110100 in words is "ten trillion, two hundred thirty-three billion, one million, one hundred ten thousand, one hundred".