110011220122000 has 80 divisors (see below), whose sum is σ = 266562471052800. Its totient is φ = 43912620259200.

The previous prime is 110011220121991. The next prime is 110011220122019. The reversal of 110011220122000 is 221022110011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×110011220122000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56459130 + ... + 58375129.

It is an arithmetic number, because the mean of its divisors is an integer number (3332030888160).

Almost surely, 2^{110011220122000} is an apocalyptic number.

110011220122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110011220122000 is an abundant number, since it is smaller than the sum of its proper divisors (156551250930800).

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

110011220122000 is a wasteful number, since it uses less digits than its factorization.

110011220122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114834761 (or 114834745 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110011220122000 its reverse (221022110011), we get a palindrome (110232242232011).

The spelling of 110011220122000 in words is "one hundred ten trillion, eleven billion, two hundred twenty million, one hundred twenty-two thousand".