110120111221000 has 64 divisors (see below), whose sum is σ = 257704198830000. Its totient is φ = 44044089177600.

The previous prime is 110120111220869. The next prime is 110120111221007. The reversal of 110120111221000 is 122111021011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 132413020996 + 109987698200004 = 363886^2 + 10487502^2 .

It is a super-2 number, since 2×110120111221000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110120111221007) by changing a digit.

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, 6210436 + ... + 16087564.

Almost surely, 2^{110120111221000} is an apocalyptic number.

110120111221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120111221000 is an abundant number, since it is smaller than the sum of its proper divisors (147584087609000).

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

110120111221000 is a wasteful number, since it uses less digits than its factorization.

110120111221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888299 (or 9888285 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110120111221000 its reverse (122111021011), we get a palindrome (110242222242011).

The spelling of 110120111221000 in words is "one hundred ten trillion, one hundred twenty billion, one hundred eleven million, two hundred twenty-one thousand".