311100221100001 has 2 divisors, whose sum is σ = 311100221100002. Its totient is φ = 311100221100000.

The previous prime is 311100221099981. The next prime is 311100221100023. The reversal of 311100221100001 is 100001122001113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250551669222976 + 60548551877025 = 15828824^2 + 7781295^2 .

It is a cyclic number.

It is not a de Polignac number, because 311100221100001 - 2²⁵ = 311100187545569 is a prime.

It is not a weakly prime, because it can be changed into another prime (311100221100061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155550110550000 + 155550110550001.

It is an arithmetic number, because the mean of its divisors is an integer number (155550110550001).

Almost surely, 2^{311100221100001} is an apocalyptic number.

It is an amenable number.

311100221100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

311100221100001 is an equidigital number, since it uses as much as digits as its factorization.

311100221100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 311100221100001 its reverse (100001122001113), we get a palindrome (411101343101114).

The spelling of 311100221100001 in words is "three hundred eleven trillion, one hundred billion, two hundred twenty-one million, one hundred thousand, one".