102001222200121 has 2 divisors, whose sum is σ = 102001222200122. Its totient is φ = 102001222200120.

The previous prime is 102001222200079. The next prime is 102001222200127. The reversal of 102001222200121 is 121002222100201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101965665818025 + 35556382096 = 10097805^2 + 188564^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001222200121 - 2³⁵ = 101966862461753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102001222200095 and 102001222200104.

It is not a weakly prime, because it can be changed into another prime (102001222200127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000611100060 + 51000611100061.

It is an arithmetic number, because the mean of its divisors is an integer number (51000611100061).

Almost surely, 2^{102001222200121} is an apocalyptic number.

It is an amenable number.

102001222200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001222200121 is an equidigital number, since it uses as much as digits as its factorization.

102001222200121 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 16.

Adding to 102001222200121 its reverse (121002222100201), we get a palindrome (223003444300322).

The spelling of 102001222200121 in words is "one hundred two trillion, one billion, two hundred twenty-two million, two hundred thousand, one hundred twenty-one".