110022101100 has 864 divisors, whose sum is σ = 404282249280. Its totient is φ = 24843386880.

The previous prime is 110022101071. The next prime is 110022101129. The reversal of 110022101100 is 1101220011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110022101071) and next prime (110022101129).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 570062604 + ... + 570062796.

It is an arithmetic number, because the mean of its divisors is an integer number (467919270).

Almost surely, 2^110022101100 is an apocalyptic number.

110022101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110022101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202141124640).

110022101100 is an abundant number, since it is smaller than the sum of its proper divisors (294260148180).

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

110022101100 is a wasteful number, since it uses less digits than its factorization.

110022101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110022101100 its reverse (1101220011), we get a palindrome (111123321111).

The spelling of 110022101100 in words is "one hundred ten billion, twenty-two million, one hundred one thousand, one hundred".