11022100100 has 72 divisors (see below), whose sum is σ = 26157180000. Its totient is φ = 3998073600.

The previous prime is 11022100099. The next prime is 11022100153. The reversal of 11022100100 is 100122011.

11022100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11022100100² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 437651 + ... + 462149.

Almost surely, 2^11022100100 is an apocalyptic number.

11022100100 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 11022100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078590000).

11022100100 is an abundant number, since it is smaller than the sum of its proper divisors (15135079900).

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

11022100100 is a wasteful number, since it uses less digits than its factorization.

11022100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24933 (or 24926 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11022100100 its reverse (100122011), we get a palindrome (11122222111).

The spelling of 11022100100 in words is "eleven billion, twenty-two million, one hundred thousand, one hundred".