1100121200022 has 256 divisors, whose sum is σ = 2686624174080. Its totient is φ = 297025118208.

The previous prime is 1100121199967. The next prime is 1100121200027. The reversal of 1100121200022 is 2200021210011.

It is a junction number, because it is equal to n+sod(n) for n = 1100121199980 and 1100121200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100121200027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111807379 + ... + 111817217.

It is an arithmetic number, because the mean of its divisors is an integer number (10494625680).

Almost surely, 2^{1100121200022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100121200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343312087040).

1100121200022 is an abundant number, since it is smaller than the sum of its proper divisors (1586502974058).

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

1100121200022 is a wasteful number, since it uses less digits than its factorization.

1100121200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100121200022 its reverse (2200021210011), we get a palindrome (3300142410033).

The spelling of 1100121200022 in words is "one trillion, one hundred billion, one hundred twenty-one million, two hundred thousand, twenty-two".