102011112211121 has 2 divisors, whose sum is σ = 102011112211122. Its totient is φ = 102011112211120.

The previous prime is 102011112211111. The next prime is 102011112211159. The reversal of 102011112211121 is 121112211110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78939315648400 + 23071796562721 = 8884780^2 + 4803311^2 .

It is an emirp because it is prime and its reverse (121112211110201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102011112211121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102011112211121.

It is not a weakly prime, because it can be changed into another prime (102011112211111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005556105560 + 51005556105561.

It is an arithmetic number, because the mean of its divisors is an integer number (51005556105561).

Almost surely, 2^{102011112211121} is an apocalyptic number.

It is an amenable number.

102011112211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011112211121 is an equidigital number, since it uses as much as digits as its factorization.

102011112211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 102011112211121 its reverse (121112211110201), we get a palindrome (223123323321322).

The spelling of 102011112211121 in words is "one hundred two trillion, eleven billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-one".