102210110127121 has 2 divisors, whose sum is σ = 102210110127122. Its totient is φ = 102210110127120.

The previous prime is 102210110127113. The next prime is 102210110127133. The reversal of 102210110127121 is 121721011012201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51521961294400 + 50688148832721 = 7177880^2 + 7119561^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210110127121 - 2³ = 102210110127113 is a prime.

It is a super-3 number, since 3×102210110127121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102210110127092 and 102210110127101.

It is not a weakly prime, because it can be changed into another prime (102210110107121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105055063560 + 51105055063561.

It is an arithmetic number, because the mean of its divisors is an integer number (51105055063561).

Almost surely, 2^{102210110127121} is an apocalyptic number.

It is an amenable number.

102210110127121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210110127121 is an equidigital number, since it uses as much as digits as its factorization.

102210110127121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 102210110127121 its reverse (121721011012201), we get a palindrome (223931121139322).

The spelling of 102210110127121 in words is "one hundred two trillion, two hundred ten billion, one hundred ten million, one hundred twenty-seven thousand, one hundred twenty-one".