102222123212201 has 2 divisors, whose sum is σ = 102222123212202. Its totient is φ = 102222123212200.

The previous prime is 102222123212159. The next prime is 102222123212227. The reversal of 102222123212201 is 102212321222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98645637066601 + 3576486145600 = 9932051^2 + 1891160^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222123212201 - 2³⁴ = 102204943343017 is a prime.

It is not a weakly prime, because it can be changed into another prime (102222123212281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111061606100 + 51111061606101.

It is an arithmetic number, because the mean of its divisors is an integer number (51111061606101).

Almost surely, 2^{102222123212201} is an apocalyptic number.

It is an amenable number.

102222123212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222123212201 is an equidigital number, since it uses as much as digits as its factorization.

102222123212201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 102222123212201 its reverse (102212321222201), we get a palindrome (204434444434402).

The spelling of 102222123212201 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-three million, two hundred twelve thousand, two hundred one".