11022111200100 has 1944 divisors, whose sum is σ = 45393386137344. Its totient is φ = 2054916864000.

The previous prime is 11022111200081. The next prime is 11022111200117. The reversal of 11022111200100 is 100211122011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 11122210605 + ... + 11122211595.

Almost surely, 2^{11022111200100} is an apocalyptic number.

11022111200100 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 11022111200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22696693068672).

11022111200100 is an abundant number, since it is smaller than the sum of its proper divisors (34371274937244).

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

11022111200100 is a wasteful number, since it uses less digits than its factorization.

11022111200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11022111200100 its reverse (100211122011), we get a palindrome (11122322322111).

It can be divided in two parts, 11022111 and 200100, that added together give a palindrome (11222211).

The spelling of 11022111200100 in words is "eleven trillion, twenty-two billion, one hundred eleven million, two hundred thousand, one hundred".