102211211211077 has 2 divisors, whose sum is σ = 102211211211078. Its totient is φ = 102211211211076.

The previous prime is 102211211211047. The next prime is 102211211211103. The reversal of 102211211211077 is 770112112112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99906601818241 + 2304609392836 = 9995329^2 + 1518094^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211211211077 - 2¹⁴ = 102211211194693 is a prime.

It is a super-2 number, since 2×102211211211077² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102211211211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105605605538 + 51105605605539.

It is an arithmetic number, because the mean of its divisors is an integer number (51105605605539).

Almost surely, 2^{102211211211077} is an apocalyptic number.

It is an amenable number.

102211211211077 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211211211077 is an equidigital number, since it uses as much as digits as its factorization.

102211211211077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 29.

Adding to 102211211211077 its reverse (770112112112201), we get a palindrome (872323323323278).

The spelling of 102211211211077 in words is "one hundred two trillion, two hundred eleven billion, two hundred eleven million, two hundred eleven thousand, seventy-seven".