102021211111121 has 2 divisors, whose sum is σ = 102021211111122. Its totient is φ = 102021211111120.

The previous prime is 102021211111093. The next prime is 102021211111133. The reversal of 102021211111121 is 121111112120201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54337007220496 + 47684203890625 = 7371364^2 + 6905375^2 .

It is a cyclic number.

It is not a de Polignac number, because 102021211111121 - 2²⁶ = 102021144002257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102021211111121.

It is not a weakly prime, because it can be changed into another prime (102021211111151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51010605555560 + 51010605555561.

It is an arithmetic number, because the mean of its divisors is an integer number (51010605555561).

Almost surely, 2^{102021211111121} is an apocalyptic number.

It is an amenable number.

102021211111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102021211111121 is an equidigital number, since it uses as much as digits as its factorization.

102021211111121 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 102021211111121 its reverse (121111112120201), we get a palindrome (223132323231322).

The spelling of 102021211111121 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-one".