122100112121211 has 96 divisors (see below), whose sum is σ = 209653536768000. Its totient is φ = 67018966410240.

The previous prime is 122100112121189. The next prime is 122100112121219. The reversal of 122100112121211 is 112121211001221.

It is a happy number.

122100112121211 is a `hidden beast` number, since 1 + 221 + 0 + 0 + 112 + 121 + 211 = 666.

It is not a de Polignac number, because 122100112121211 - 2¹⁵ = 122100112088443 is a prime.

It is a super-2 number, since 2×122100112121211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122100112121219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1914933571 + ... + 1914997331.

It is an arithmetic number, because the mean of its divisors is an integer number (2183891008000).

Almost surely, 2^{122100112121211} is an apocalyptic number.

122100112121211 is a deficient number, since it is larger than the sum of its proper divisors (87553424646789).

122100112121211 is a wasteful number, since it uses less digits than its factorization.

122100112121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74289 (or 74286 counting only the distinct ones).

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

Adding to 122100112121211 its reverse (112121211001221), we get a palindrome (234221323122432).

The spelling of 122100112121211 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twelve million, one hundred twenty-one thousand, two hundred eleven".