100200331 has 16 divisors (see below), whose sum is σ = 125199360. Its totient is φ = 77906880.

The previous prime is 100200323. The next prime is 100200391. The reversal of 100200331 is 133002001.

It is a cyclic number.

It is not a de Polignac number, because 100200331 - 2³ = 100200323 is a prime.

It is a super-3 number, since 3×100200331³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100200301) 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, 42670 + ... + 44956.

It is an arithmetic number, because the mean of its divisors is an integer number (7824960).

Almost surely, 2^100200331 is an apocalyptic number.

100200331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100200331 is a deficient number, since it is larger than the sum of its proper divisors (24999029).

100200331 is a wasteful number, since it uses less digits than its factorization.

100200331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874.

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

The square root of 100200331 is about 10010.0115384549. The cubic root of 100200331 is about 464.4686279926.

Adding to 100200331 its reverse (133002001), we get a palindrome (233202332).

The spelling of 100200331 in words is "one hundred million, two hundred thousand, three hundred thirty-one".