221122120100201 has 2 divisors, whose sum is σ = 221122120100202. Its totient is φ = 221122120100200.

The previous prime is 221122120100143. The next prime is 221122120100237. The reversal of 221122120100201 is 102001021221122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208442994378025 + 12679125722176 = 14437555^2 + 3560776^2 .

It is a cyclic number.

It is not a de Polignac number, because 221122120100201 - 2⁶ = 221122120100137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221122120100201.

It is not a weakly prime, because it can be changed into another prime (221122120130201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561060050100 + 110561060050101.

It is an arithmetic number, because the mean of its divisors is an integer number (110561060050101).

Almost surely, 2^{221122120100201} is an apocalyptic number.

It is an amenable number.

221122120100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122120100201 is an equidigital number, since it uses as much as digits as its factorization.

221122120100201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 221122120100201 its reverse (102001021221122), we get a palindrome (323123141321323).

The spelling of 221122120100201 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thousand, two hundred one".