2022111100000 has 144 divisors (see below), whose sum is σ = 5237868661200. Its totient is φ = 766272960000.

The previous prime is 2022111099989. The next prime is 2022111100001. The reversal of 2022111100000 is 11112202.

It is a super-4 number, since 4×2022111100000⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2022111100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022111100001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1367866 + ... + 2432134.

It is an arithmetic number, because the mean of its divisors is an integer number (36374087925).

Almost surely, 2^{2022111100000} is an apocalyptic number.

2022111100000 is a gapful number since it is divisible by the number (20) 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 2022111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618934330600).

2022111100000 is an abundant number, since it is smaller than the sum of its proper divisors (3215757561200).

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

2022111100000 is an equidigital number, since it uses as much as digits as its factorization.

2022111100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064323 (or 1064295 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2022111100000 its reverse (11112202), we get a palindrome (2022122212202).

The spelling of 2022111100000 in words is "two trillion, twenty-two billion, one hundred eleven million, one hundred thousand".