11200111201000 has 32 divisors (see below), whose sum is σ = 26208260212680. Its totient is φ = 4480044480000.

The previous prime is 11200111200991. The next prime is 11200111201021. The reversal of 11200111201000 is 10211100211.

It can be written as a sum of positive squares in 4 ways, for example, as 866496616164 + 10333614584836 = 930858^2 + 3214594^2 .

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

It is an unprimeable number.

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, 5600054601 + ... + 5600056600.

Almost surely, 2^{11200111201000} is an apocalyptic number.

11200111201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200111201000 is an abundant number, since it is smaller than the sum of its proper divisors (15008149011680).

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

11200111201000 is a wasteful number, since it uses less digits than its factorization.

11200111201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200111222 (or 11200111208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11200111201000 its reverse (10211100211), we get a palindrome (11210322301211).

The spelling of 11200111201000 in words is "eleven trillion, two hundred billion, one hundred eleven million, two hundred one thousand".