102222221200241 has 2 divisors, whose sum is σ = 102222221200242. Its totient is φ = 102222221200240.

The previous prime is 102222221200201. The next prime is 102222221200259. The reversal of 102222221200241 is 142002122222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62661140342641 + 39561080857600 = 7915879^2 + 6289760^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222221200241 - 2³⁸ = 101947343293297 is a prime.

It is a super-2 number, since 2×102222221200241² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102222221200201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111110600120 + 51111110600121.

It is an arithmetic number, because the mean of its divisors is an integer number (51111110600121).

Almost surely, 2^{102222221200241} is an apocalyptic number.

It is an amenable number.

102222221200241 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222221200241 is an equidigital number, since it uses as much as digits as its factorization.

102222221200241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 102222221200241 its reverse (142002122222201), we get a palindrome (244224343422442).

The spelling of 102222221200241 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred thousand, two hundred forty-one".