122122010222101 has 2 divisors, whose sum is σ = 122122010222102. Its totient is φ = 122122010222100.

The previous prime is 122122010222089. The next prime is 122122010222111. The reversal of 122122010222101 is 101222010221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73013436144100 + 49108574078001 = 8544790^2 + 7007751^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122010222101 - 2⁷ = 122122010221973 is a prime.

It is a super-2 number, since 2×122122010222101² (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 (122122010222111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061005111050 + 61061005111051.

It is an arithmetic number, because the mean of its divisors is an integer number (61061005111051).

Almost surely, 2^{122122010222101} is an apocalyptic number.

It is an amenable number.

122122010222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122010222101 is an equidigital number, since it uses as much as digits as its factorization.

122122010222101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122122010222101 its reverse (101222010221221), we get a palindrome (223344020443322).

The spelling of 122122010222101 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, ten million, two hundred twenty-two thousand, one hundred one".