122122126101 has 16 divisors (see below), whose sum is σ = 165176458496. Its totient is φ = 80242845696.

The previous prime is 122122126079. The next prime is 122122126129. The reversal of 122122126101 is 101621221221.

It is not a de Polignac number, because 122122126101 - 2¹⁰ = 122122125077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122126141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115701 + ... + 507573.

It is an arithmetic number, because the mean of its divisors is an integer number (10323528656).

Almost surely, 2^122122126101 is an apocalyptic number.

It is an amenable number.

122122126101 is a deficient number, since it is larger than the sum of its proper divisors (43054332395).

122122126101 is a wasteful number, since it uses less digits than its factorization.

122122126101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393372.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 122122126101 its reverse (101621221221), we get a palindrome (223743347322).

The spelling of 122122126101 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-six thousand, one hundred one".