122100211121122 has 48 divisors (see below), whose sum is σ = 210163420218312. Its totient is φ = 52994840371200.

The previous prime is 122100211121117. The next prime is 122100211121129. The reversal of 122100211121122 is 221121112001221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2107488054961 + 119992723066161 = 1451719^2 + 10954119^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122100211121122.

It is not an unprimeable number, because it can be changed into a prime (122100211121129) 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 23 ways as a sum of consecutive naturals, for example, 1945683 + ... + 15747574.

Almost surely, 2^{122100211121122} is an apocalyptic number.

122100211121122 is a deficient number, since it is larger than the sum of its proper divisors (88063209097190).

122100211121122 is a wasteful number, since it uses less digits than its factorization.

122100211121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17694503 (or 17694490 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122100211121122 its reverse (221121112001221), we get a palindrome (343221323122343).

The spelling of 122100211121122 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".