102212232021121 has 2 divisors, whose sum is σ = 102212232021122. Its totient is φ = 102212232021120.

The previous prime is 102212232021083. The next prime is 102212232021131. The reversal of 102212232021121 is 121120232212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92980120464400 + 9232111556721 = 9642620^2 + 3038439^2 .

It is an emirp because it is prime and its reverse (121120232212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102212232021121 - 2⁹ = 102212232020609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212232021092 and 102212232021101.

It is not a weakly prime, because it can be changed into another prime (102212232021131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106116010560 + 51106116010561.

It is an arithmetic number, because the mean of its divisors is an integer number (51106116010561).

Almost surely, 2^{102212232021121} is an apocalyptic number.

It is an amenable number.

102212232021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212232021121 is an equidigital number, since it uses as much as digits as its factorization.

102212232021121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 102212232021121 its reverse (121120232212201), we get a palindrome (223332464233322).

The spelling of 102212232021121 in words is "one hundred two trillion, two hundred twelve billion, two hundred thirty-two million, twenty-one thousand, one hundred twenty-one".