201122200011001 has 2 divisors, whose sum is σ = 201122200011002. Its totient is φ = 201122200011000.

The previous prime is 201122200010971. The next prime is 201122200011017. The reversal of 201122200011001 is 100110002221102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151471504005376 + 49650696005625 = 12307376^2 + 7046325^2 .

It is a cyclic number.

It is not a de Polignac number, because 201122200011001 - 2³³ = 201113610076409 is a prime.

It is not a weakly prime, because it can be changed into another prime (201122200011041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561100005500 + 100561100005501.

It is an arithmetic number, because the mean of its divisors is an integer number (100561100005501).

Almost surely, 2^{201122200011001} is an apocalyptic number.

It is an amenable number.

201122200011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122200011001 is an equidigital number, since it uses as much as digits as its factorization.

201122200011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201122200011001 its reverse (100110002221102), we get a palindrome (301232202232103).

The spelling of 201122200011001 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred million, eleven thousand, one".