102122211101201 has 2 divisors, whose sum is σ = 102122211101202. Its totient is φ = 102122211101200.

The previous prime is 102122211101173. The next prime is 102122211101203. The reversal of 102122211101201 is 102101112221201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86584234654225 + 15537976446976 = 9305065^2 + 3941824^2 .

It is an emirp because it is prime and its reverse (102101112221201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102122211101201 - 2¹⁰ = 102122211100177 is a prime.

It is a super-2 number, since 2×102122211101201² (a number of 29 digits) contains 22 as substring.

Together with 102122211101203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102122211101201.

It is not a weakly prime, because it can be changed into another prime (102122211101203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061105550600 + 51061105550601.

It is an arithmetic number, because the mean of its divisors is an integer number (51061105550601).

Almost surely, 2^{102122211101201} is an apocalyptic number.

It is an amenable number.

102122211101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122211101201 is an equidigital number, since it uses as much as digits as its factorization.

102122211101201 is an evil number, because the sum of its binary digits is even.

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

Adding to 102122211101201 its reverse (102101112221201), we get a palindrome (204223323322402).

The spelling of 102122211101201 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred eleven million, one hundred one thousand, two hundred one".