201000222100001 has 2 divisors, whose sum is σ = 201000222100002. Its totient is φ = 201000222100000.

The previous prime is 201000222099979. The next prime is 201000222100003. The reversal of 201000222100001 is 100001222000102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200947068336400 + 53153763601 = 14175580^2 + 230551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201000222100001 is a prime.

Together with 201000222100003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (201000222100003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500111050000 + 100500111050001.

It is an arithmetic number, because the mean of its divisors is an integer number (100500111050001).

Almost surely, 2^{201000222100001} is an apocalyptic number.

It is an amenable number.

201000222100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201000222100001 is an equidigital number, since it uses as much as digits as its factorization.

201000222100001 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 11.

Adding to 201000222100001 its reverse (100001222000102), we get a palindrome (301001444100103).

The spelling of 201000222100001 in words is "two hundred one trillion, two hundred twenty-two million, one hundred thousand, one".