11200221001000 has 64 divisors (see below), whose sum is σ = 26211191086080. Its totient is φ = 4479631316800.

The previous prime is 11200221000959. The next prime is 11200221001001. The reversal of 11200221001000 is 10012200211.

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 (11200221001001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9320589 + ... + 10453411.

It is an arithmetic number, because the mean of its divisors is an integer number (409549860720).

Almost surely, 2^{11200221001000} is an apocalyptic number.

11200221001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200221001000 is an abundant number, since it is smaller than the sum of its proper divisors (15010970085080).

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

11200221001000 is a wasteful number, since it uses less digits than its factorization.

11200221001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142731 (or 1142717 counting only the distinct ones).

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

Adding to 11200221001000 its reverse (10012200211), we get a palindrome (11210233201211).

The spelling of 11200221001000 in words is "eleven trillion, two hundred billion, two hundred twenty-one million, one thousand".