122112220101 has 32 divisors (see below), whose sum is σ = 167770119168. Its totient is φ = 78946306560.

The previous prime is 122112220091. The next prime is 122112220123. The reversal of 122112220101 is 101022211221.

It is not a de Polignac number, because 122112220101 - 2¹⁵ = 122112187333 is a prime.

It is a super-2 number, since 2×122112220101² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112220151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61269561 + ... + 61271553.

It is an arithmetic number, because the mean of its divisors is an integer number (5242816224).

Almost surely, 2^122112220101 is an apocalyptic number.

It is an amenable number.

122112220101 is a deficient number, since it is larger than the sum of its proper divisors (45657899067).

122112220101 is a wasteful number, since it uses less digits than its factorization.

122112220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122112220101 its reverse (101022211221), we get a palindrome (223134431322).

The spelling of 122112220101 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred twenty thousand, one hundred one".