102022110121121 has 2 divisors, whose sum is σ = 102022110121122. Its totient is φ = 102022110121120.

The previous prime is 102022110121003. The next prime is 102022110121133. The reversal of 102022110121121 is 121121011220201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65419610121121 + 36602500000000 = 8088239^2 + 6050000^2 .

It is an emirp because it is prime and its reverse (121121011220201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102022110121121 is a prime.

It is a super-2 number, since 2×102022110121121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102022110121121.

It is not a weakly prime, because it can be changed into another prime (102022110111121) 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, 51011055060560 + 51011055060561.

It is an arithmetic number, because the mean of its divisors is an integer number (51011055060561).

Almost surely, 2^{102022110121121} is an apocalyptic number.

It is an amenable number.

102022110121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022110121121 is an equidigital number, since it uses as much as digits as its factorization.

102022110121121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102022110121121 its reverse (121121011220201), we get a palindrome (223143121341322).

The spelling of 102022110121121 in words is "one hundred two trillion, twenty-two billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty-one".