100201031331001 has 2 divisors, whose sum is σ = 100201031331002. Its totient is φ = 100201031331000.

The previous prime is 100201031330993. The next prime is 100201031331017. The reversal of 100201031331001 is 100133130102001.

It is an a-pointer prime, because the next prime (100201031331017) can be obtained adding 100201031331001 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80072788755600 + 20128242575401 = 8948340^2 + 4486451^2 .

It is an emirp because it is prime and its reverse (100133130102001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100201031331001 - 2³ = 100201031330993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100201031331101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100515665500 + 50100515665501.

It is an arithmetic number, because the mean of its divisors is an integer number (50100515665501).

Almost surely, 2^{100201031331001} is an apocalyptic number.

It is an amenable number.

100201031331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201031331001 is an equidigital number, since it uses as much as digits as its factorization.

100201031331001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100201031331001 its reverse (100133130102001), we get a palindrome (200334161433002).

The spelling of 100201031331001 in words is "one hundred trillion, two hundred one billion, thirty-one million, three hundred thirty-one thousand, one".