1000111220200 has 96 divisors (see below), whose sum is σ = 2406394251000. Its totient is φ = 386096614400.

The previous prime is 1000111220177. The next prime is 1000111220201. The reversal of 1000111220200 is 20221110001.

1000111220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 224897886756 + 775213333444 = 474234^2 + 880462^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1000111220201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15168906 + ... + 15234694.

Almost surely, 2^{1000111220200} is an apocalyptic number.

1000111220200 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 1000111220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203197125500).

1000111220200 is an abundant number, since it is smaller than the sum of its proper divisors (1406283030800).

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

1000111220200 is a wasteful number, since it uses less digits than its factorization.

1000111220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68455 (or 68446 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000111220200 its reverse (20221110001), we get a palindrome (1020332330201).

The spelling of 1000111220200 in words is "one trillion, one hundred eleven million, two hundred twenty thousand, two hundred".