221122020112001 has 2 divisors, whose sum is σ = 221122020112002. Its totient is φ = 221122020112000.

The previous prime is 221122020111991. The next prime is 221122020112027. The reversal of 221122020112001 is 100211020221122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158031549523600 + 63090470588401 = 12571060^2 + 7942951^2 .

It is a cyclic number.

It is not a de Polignac number, because 221122020112001 - 2¹⁴ = 221122020095617 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (221122020114001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561010056000 + 110561010056001.

It is an arithmetic number, because the mean of its divisors is an integer number (110561010056001).

Almost surely, 2^{221122020112001} is an apocalyptic number.

It is an amenable number.

221122020112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122020112001 is an equidigital number, since it uses as much as digits as its factorization.

221122020112001 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 221122020112001 its reverse (100211020221122), we get a palindrome (321333040333123).

The spelling of 221122020112001 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, twenty million, one hundred twelve thousand, one".