102210111212081 has 2 divisors, whose sum is σ = 102210111212082. Its totient is φ = 102210111212080.

The previous prime is 102210111211997. The next prime is 102210111212203. The reversal of 102210111212081 is 180212111012201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101870344631056 + 339766581025 = 10093084^2 + 582895^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210111212081 - 2¹⁸ = 102210110949937 is a prime.

It is a super-3 number, since 3×102210111212081³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102210111232081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105055606040 + 51105055606041.

It is an arithmetic number, because the mean of its divisors is an integer number (51105055606041).

Almost surely, 2^{102210111212081} is an apocalyptic number.

It is an amenable number.

102210111212081 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210111212081 is an equidigital number, since it uses as much as digits as its factorization.

102210111212081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 102210111212081 its reverse (180212111012201), we get a palindrome (282422222224282).

The spelling of 102210111212081 in words is "one hundred two trillion, two hundred ten billion, one hundred eleven million, two hundred twelve thousand, eighty-one".