1100122222122 has 256 divisors, whose sum is σ = 3102661324800. Its totient is φ = 280627200000.

The previous prime is 1100122222117. The next prime is 1100122222163. The reversal of 1100122222122 is 2212222210011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1100122222095 and 1100122222104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 392759122 + ... + 392761922.

It is an arithmetic number, because the mean of its divisors is an integer number (12119770800).

Almost surely, 2^{1100122222122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100122222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551330662400).

1100122222122 is an abundant number, since it is smaller than the sum of its proper divisors (2002539102678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100122222122 is a wasteful number, since it uses less digits than its factorization.

1100122222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1100122222122 its reverse (2212222210011), we get a palindrome (3312344432133).

The spelling of 1100122222122 in words is "one trillion, one hundred billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".