11102212100 has 288 divisors, whose sum is σ = 30778030080. Its totient is φ = 3388170240.

The previous prime is 11102212061. The next prime is 11102212181. The reversal of 11102212100 is 121220111.

It is a super-2 number, since 2×11102212100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18289997 + ... + 18290603.

It is an arithmetic number, because the mean of its divisors is an integer number (106868160).

Almost surely, 2^11102212100 is an apocalyptic number.

11102212100 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 11102212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15389015040).

11102212100 is an abundant number, since it is smaller than the sum of its proper divisors (19675817980).

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

11102212100 is a wasteful number, since it uses less digits than its factorization.

11102212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11102212100 its reverse (121220111), we get a palindrome (11223432211).

The spelling of 11102212100 in words is "eleven billion, one hundred two million, two hundred twelve thousand, one hundred".