100201331201 has 6 divisors (see below), whose sum is σ = 106442244870. Its totient is φ = 94307134976.

The previous prime is 100201331177. The next prime is 100201331227. The reversal of 100201331201 is 102133102001.

It can be written as a sum of positive squares in 3 ways, for example, as 13339095025 + 86862236176 = 115495^2 + 294724^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100201331201 is a prime.

It is a super-2 number, since 2×100201331201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201331101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 173358416 + ... + 173358993.

It is an arithmetic number, because the mean of its divisors is an integer number (17740374145).

Almost surely, 2^100201331201 is an apocalyptic number.

It is an amenable number.

100201331201 is a deficient number, since it is larger than the sum of its proper divisors (6240913669).

100201331201 is an equidigital number, since it uses as much as digits as its factorization.

100201331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346717443 (or 346717426 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100201331201 its reverse (102133102001), we get a palindrome (202334433202).

The spelling of 100201331201 in words is "one hundred billion, two hundred one million, three hundred thirty-one thousand, two hundred one".