102223021113121 has 2 divisors, whose sum is σ = 102223021113122. Its totient is φ = 102223021113120.

The previous prime is 102223021113023. The next prime is 102223021113217. The reversal of 102223021113121 is 121311120322201.

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., 91149027840000 + 11073993273121 = 9547200^2 + 3327761^2 .

It is a cyclic number.

It is not a de Polignac number, because 102223021113121 - 2¹⁵ = 102223021080353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102223021113092 and 102223021113101.

It is not a weakly prime, because it can be changed into another prime (102223021114121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111510556560 + 51111510556561.

It is an arithmetic number, because the mean of its divisors is an integer number (51111510556561).

Almost surely, 2^{102223021113121} is an apocalyptic number.

It is an amenable number.

102223021113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102223021113121 is an equidigital number, since it uses as much as digits as its factorization.

102223021113121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 102223021113121 its reverse (121311120322201), we get a palindrome (223534141435322).

The spelling of 102223021113121 in words is "one hundred two trillion, two hundred twenty-three billion, twenty-one million, one hundred thirteen thousand, one hundred twenty-one".