1000110211200 has 144 divisors (see below), whose sum is σ = 3568622528250. Its totient is φ = 266696048640.

The previous prime is 1000110211117. The next prime is 1000110211273. The reversal of 1000110211200 is 21120110001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 484850401344 + 515259809856 = 696312^2 + 717816^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17334225 + ... + 17391824.

Almost surely, 2^{1000110211200} is an apocalyptic number.

1000110211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000110211200 is an abundant number, since it is smaller than the sum of its proper divisors (2568512317050).

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

1000110211200 is a wasteful number, since it uses less digits than its factorization.

1000110211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34726079 (or 34726059 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000110211200 its reverse (21120110001), we get a palindrome (1021230321201).

The spelling of 1000110211200 in words is "one trillion, one hundred ten million, two hundred eleven thousand, two hundred".