122112220221101 has 64 divisors (see below), whose sum is σ = 138129509371392. Its totient is φ = 106990494720000.

The previous prime is 122112220221083. The next prime is 122112220221137. The reversal of 122112220221101 is 101122022211221.

It is a cyclic number.

It is not a de Polignac number, because 122112220221101 - 2⁶ = 122112220221037 is a prime.

It is a super-2 number, since 2×122112220221101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112220223101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8668426280 + ... + 8668440366.

It is an arithmetic number, because the mean of its divisors is an integer number (2158273583928).

Almost surely, 2^{122112220221101} is an apocalyptic number.

122112220221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122112220221101 is a deficient number, since it is larger than the sum of its proper divisors (16017289150291).

122112220221101 is a wasteful number, since it uses less digits than its factorization.

122112220221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15014.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122112220221101 its reverse (101122022211221), we get a palindrome (223234242432322).

The spelling of 122112220221101 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty million, two hundred twenty-one thousand, one hundred one".