111202200000200 has 96 divisors (see below), whose sum is σ = 259335343979400. Its totient is φ = 44344950128640.

The previous prime is 111202200000167. The next prime is 111202200000223. The reversal of 111202200000200 is 2000002202111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 92006662276 + 111110193337924 = 303326^2 + 10540882^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828211472 + ... + 828345728.

Almost surely, 2^{111202200000200} is an apocalyptic number.

111202200000200 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 111202200000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129667671989700).

111202200000200 is an abundant number, since it is smaller than the sum of its proper divisors (148133143979200).

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

111202200000200 is a wasteful number, since it uses less digits than its factorization.

111202200000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146899 (or 146890 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 111202200000200 its reverse (2000002202111), we get a palindrome (113202202202311).

The spelling of 111202200000200 in words is "one hundred eleven trillion, two hundred two billion, two hundred million, two hundred", and thus it is an aban number.