10100233 has 12 divisors (see below), whose sum is σ = 11957764. Its totient is φ = 8474400.

The previous prime is 10100221. The next prime is 10100249. The reversal of 10100233 is 33200101.

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 7991929 = 1452^2 + 2827^2 .

It is not a de Polignac number, because 10100233 - 2⁵ = 10100201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1638 + ... + 4783.

Almost surely, 2^10100233 is an apocalyptic number.

10100233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10100233 is a deficient number, since it is larger than the sum of its proper divisors (1857531).

10100233 is a wasteful number, since it uses less digits than its factorization.

10100233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10100233 is about 3178.0863739049. The cubic root of 10100233 is about 216.1608954963.

Adding to 10100233 its reverse (33200101), we get a palindrome (43300334).

The spelling of 10100233 in words is "ten million, one hundred thousand, two hundred thirty-three".