102212022011101 has 2 divisors, whose sum is σ = 102212022011102. Its totient is φ = 102212022011100.

The previous prime is 102212022011083. The next prime is 102212022011107. The reversal of 102212022011101 is 101110220212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101055289495876 + 1156732515225 = 10052626^2 + 1075515^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212022011101 - 2²³ = 102212013622493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102212022011107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106011005550 + 51106011005551.

It is an arithmetic number, because the mean of its divisors is an integer number (51106011005551).

Almost surely, 2^{102212022011101} is an apocalyptic number.

It is an amenable number.

102212022011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212022011101 is an equidigital number, since it uses as much as digits as its factorization.

102212022011101 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 16.

Adding to 102212022011101 its reverse (101110220212201), we get a palindrome (203322242223302).

The spelling of 102212022011101 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, eleven thousand, one hundred one".