221120101121201 has 2 divisors, whose sum is σ = 221120101121202. Its totient is φ = 221120101121200.

The previous prime is 221120101121167. The next prime is 221120101121233. The reversal of 221120101121201 is 102121101021122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180685750963600 + 40434350157601 = 13441940^2 + 6358801^2 .

It is a cyclic number.

It is not a de Polignac number, because 221120101121201 - 2³⁸ = 220845223214257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221120101121201.

It is not a weakly prime, because it can be changed into another prime (221120101126201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560050560600 + 110560050560601.

It is an arithmetic number, because the mean of its divisors is an integer number (110560050560601).

Almost surely, 2^{221120101121201} is an apocalyptic number.

It is an amenable number.

221120101121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221120101121201 is an equidigital number, since it uses as much as digits as its factorization.

221120101121201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221120101121201 its reverse (102121101021122), we get a palindrome (323241202142323).

The spelling of 221120101121201 in words is "two hundred twenty-one trillion, one hundred twenty billion, one hundred one million, one hundred twenty-one thousand, two hundred one".