11202221121000 has 512 divisors, whose sum is σ = 44179177835520. Its totient is φ = 2299663872000.

The previous prime is 11202221120983. The next prime is 11202221121011. The reversal of 11202221121000 is 12112220211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9546490 + ... + 10655510.

It is an arithmetic number, because the mean of its divisors is an integer number (86287456710).

Almost surely, 2^{11202221121000} is an apocalyptic number.

11202221121000 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 11202221121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22089588917760).

11202221121000 is an abundant number, since it is smaller than the sum of its proper divisors (32976956714520).

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

11202221121000 is a wasteful number, since it uses less digits than its factorization.

11202221121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109102 (or 1109088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11202221121000 its reverse (12112220211), we get a palindrome (11214333341211).

The spelling of 11202221121000 in words is "eleven trillion, two hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand".