110111122201120 has 96 divisors (see below), whose sum is σ = 276113183194800. Its totient is φ = 41352244985856.

The previous prime is 110111122201061. The next prime is 110111122201139. The reversal of 110111122201120 is 21102221111011.

It can be written as a sum of positive squares in 8 ways, for example, as 58613907264784 + 51497214936336 = 7655972^2 + 7176156^2 .

It is a super-3 number, since 3×110111122201120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110111122201094 and 110111122201103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48376555 + ... + 50601514.

Almost surely, 2^{110111122201120} is an apocalyptic number.

110111122201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110111122201120 is an abundant number, since it is smaller than the sum of its proper divisors (166002060993680).

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

110111122201120 is a wasteful number, since it uses less digits than its factorization.

110111122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98978510 (or 98978502 counting only the distinct ones).

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

Adding to 110111122201120 its reverse (21102221111011), we get a palindrome (131213343312131).

The spelling of 110111122201120 in words is "one hundred ten trillion, one hundred eleven billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".