110000110022000 has 640 divisors, whose sum is σ = 298506394368000. Its totient is φ = 38865675264000.

The previous prime is 110000110021951. The next prime is 110000110022057. The reversal of 110000110022000 is 220011000011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a congruent number.

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, 104861877476 + ... + 104861878524.

It is an arithmetic number, because the mean of its divisors is an integer number (466416241200).

Almost surely, 2^{110000110022000} is an apocalyptic number.

110000110022000 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 110000110022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149253197184000).

110000110022000 is an abundant number, since it is smaller than the sum of its proper divisors (188506284346000).

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

110000110022000 is a wasteful number, since it uses less digits than its factorization.

110000110022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110000110022000 its reverse (220011000011), we get a palindrome (110220121022011).

The spelling of 110000110022000 in words is "one hundred ten trillion, one hundred ten million, twenty-two thousand".