110222202001000 has 32 divisors (see below), whose sum is σ = 257919952684680. Its totient is φ = 44088880800000.

The previous prime is 110222202000971. The next prime is 110222202001007. The reversal of 110222202001000 is 100202222011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8233330106884 + 101988871894116 = 2869378^2 + 10098954^2 .

It is not an unprimeable number, because it can be changed into a prime (110222202001007) 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 7 ways as a sum of consecutive naturals, for example, 55111100001 + ... + 55111102000.

Almost surely, 2^{110222202001000} is an apocalyptic number.

110222202001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110222202001000 is an abundant number, since it is smaller than the sum of its proper divisors (147697750683680).

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

110222202001000 is a wasteful number, since it uses less digits than its factorization.

110222202001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110222202022 (or 110222202008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 110222202001000 its reverse (100202222011), we get a palindrome (110322404223011).

The spelling of 110222202001000 in words is "one hundred ten trillion, two hundred twenty-two billion, two hundred two million, one thousand".