11211022303100 has 72 divisors (see below), whose sum is σ = 24812162857440. Its totient is φ = 4395319502080.

The previous prime is 11211022303073. The next prime is 11211022303147. The reversal of 11211022303100 is 130322011211.

It is a super-2 number, since 2×11211022303100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 4133966 + ... + 6285834.

It is an arithmetic number, because the mean of its divisors is an integer number (344613373020).

Almost surely, 2^{11211022303100} is an apocalyptic number.

11211022303100 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 11211022303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12406081428720).

11211022303100 is an abundant number, since it is smaller than the sum of its proper divisors (13601140554340).

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

11211022303100 is a wasteful number, since it uses less digits than its factorization.

11211022303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152919 (or 2152912 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11211022303100 its reverse (130322011211), we get a palindrome (11341344314311).

The spelling of 11211022303100 in words is "eleven trillion, two hundred eleven billion, twenty-two million, three hundred three thousand, one hundred".