122112101221 has 8 divisors (see below), whose sum is σ = 133216646688. Its totient is φ = 111008130000.

The previous prime is 122112101213. The next prime is 122112101231. The reversal of 122112101221 is 122101211221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122112101221 - 2³ = 122112101213 is a prime.

It is a super-2 number, since 2×122112101221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122112101195 and 122112101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112101231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386031 + ... + 627091.

It is an arithmetic number, because the mean of its divisors is an integer number (16652080836).

Almost surely, 2^122112101221 is an apocalyptic number.

122112101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122112101221 is a deficient number, since it is larger than the sum of its proper divisors (11104545467).

122112101221 is a wasteful number, since it uses less digits than its factorization.

122112101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287123.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122112101221 its reverse (122101211221), we get a palindrome (244213312442).

Subtracting from 122112101221 its reverse (122101211221), we obtain a square (10890000 = 3300²).

The spelling of 122112101221 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred one thousand, two hundred twenty-one".