122212110121101 has 144 divisors (see below), whose sum is σ = 247770151469568. Its totient is φ = 57019338028800.

The previous prime is 122212110121081. The next prime is 122212110121133. The reversal of 122212110121101 is 101121011212221.

It is a happy number.

122212110121101 is a `hidden beast` number, since 12 + 221 + 211 + 0 + 121 + 101 = 666.

It is not a de Polignac number, because 122212110121101 - 2⁷ = 122212110120973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212110121201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23855005 + ... + 28521666.

It is an arithmetic number, because the mean of its divisors is an integer number (1720626051872).

Almost surely, 2^{122212110121101} is an apocalyptic number.

122212110121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122212110121101 is an abundant number, since it is smaller than the sum of its proper divisors (125558041348467).

122212110121101 is a wasteful number, since it uses less digits than its factorization.

122212110121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52376752 (or 52376742 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122212110121101 its reverse (101121011212221), we get a palindrome (223333121333322).

The spelling of 122212110121101 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred ten million, one hundred twenty-one thousand, one hundred one".