110122011020000 has 360 divisors, whose sum is σ = 315304679954880. Its totient is φ = 37737342720000.

The previous prime is 110122011019967. The next prime is 110122011020083. The reversal of 110122011020000 is 20110221011.

It is a super-2 number, since 2×110122011020000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2047193105 + ... + 2047246895.

It is an arithmetic number, because the mean of its divisors is an integer number (875846333208).

Almost surely, 2^{110122011020000} is an apocalyptic number.

110122011020000 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 110122011020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157652339977440).

110122011020000 is an abundant number, since it is smaller than the sum of its proper divisors (205182668934880).

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

110122011020000 is an equidigital number, since it uses as much as digits as its factorization.

110122011020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55924 (or 55894 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110122011020000 its reverse (20110221011), we get a palindrome (110142121241011).

The spelling of 110122011020000 in words is "one hundred ten trillion, one hundred twenty-two billion, eleven million, twenty thousand".