100233100201 has 16 divisors (see below), whose sum is σ = 111818584080. Its totient is φ = 89251937280.

The previous prime is 100233100199. The next prime is 100233100237. The reversal of 100233100201 is 102001332001.

It can be written as a sum of positive squares in 8 ways, for example, as 7625480976 + 92607619225 = 87324^2 + 304315^2 .

It is a cyclic number.

It is not a de Polignac number, because 100233100201 - 2¹ = 100233100199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100233100241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009050 + ... + 1103923.

It is an arithmetic number, because the mean of its divisors is an integer number (6988661505).

Almost surely, 2^100233100201 is an apocalyptic number.

It is an amenable number.

100233100201 is a deficient number, since it is larger than the sum of its proper divisors (11585483879).

100233100201 is a wasteful number, since it uses less digits than its factorization.

100233100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113116.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100233100201 its reverse (102001332001), we get a palindrome (202234432202).

The spelling of 100233100201 in words is "one hundred billion, two hundred thirty-three million, one hundred thousand, two hundred one".