122122011010261 has 2 divisors, whose sum is σ = 122122011010262. Its totient is φ = 122122011010260.

The previous prime is 122122011010171. The next prime is 122122011010273. The reversal of 122122011010261 is 162010110221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104601633520036 + 17520377490225 = 10227494^2 + 4185735^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122011010261 - 2⁷ = 122122011010133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122011110261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061005505130 + 61061005505131.

It is an arithmetic number, because the mean of its divisors is an integer number (61061005505131).

Almost surely, 2^{122122011010261} is an apocalyptic number.

It is an amenable number.

122122011010261 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122011010261 is an equidigital number, since it uses as much as digits as its factorization.

122122011010261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 122122011010261 its reverse (162010110221221), we get a palindrome (284132121231482).

The spelling of 122122011010261 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, eleven million, ten thousand, two hundred sixty-one".