221201021122001 has 2 divisors, whose sum is σ = 221201021122002. Its totient is φ = 221201021122000.

The previous prime is 221201021121991. The next prime is 221201021122007. The reversal of 221201021122001 is 100221120102122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163510540191376 + 57690480930625 = 12787124^2 + 7595425^2 .

It is a cyclic number.

It is not a de Polignac number, because 221201021122001 - 2³⁴ = 221183841252817 is a prime.

It is not a weakly prime, because it can be changed into another prime (221201021122007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110600510561000 + 110600510561001.

It is an arithmetic number, because the mean of its divisors is an integer number (110600510561001).

Almost surely, 2^{221201021122001} is an apocalyptic number.

It is an amenable number.

221201021122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221201021122001 is an equidigital number, since it uses as much as digits as its factorization.

221201021122001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221201021122001 its reverse (100221120102122), we get a palindrome (321422141224123).

The spelling of 221201021122001 in words is "two hundred twenty-one trillion, two hundred one billion, twenty-one million, one hundred twenty-two thousand, one".