102102212211101 has 2 divisors, whose sum is σ = 102102212211102. Its totient is φ = 102102212211100.

The previous prime is 102102212211049. The next prime is 102102212211257. The reversal of 102102212211101 is 101112212201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63861914563225 + 38240297647876 = 7991365^2 + 6183874^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102212211101 - 2⁶ = 102102212211037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102102212211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102102212211301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051106105550 + 51051106105551.

It is an arithmetic number, because the mean of its divisors is an integer number (51051106105551).

Almost surely, 2^{102102212211101} is an apocalyptic number.

It is an amenable number.

102102212211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102212211101 is an equidigital number, since it uses as much as digits as its factorization.

102102212211101 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 102102212211101 its reverse (101112212201201), we get a palindrome (203214424412302).

The spelling of 102102212211101 in words is "one hundred two trillion, one hundred two billion, two hundred twelve million, two hundred eleven thousand, one hundred one".