11201122000100 has 36 divisors (see below), whose sum is σ = 24307300459764. Its totient is φ = 4480289220480.

The previous prime is 11201122000097. The next prime is 11201122000171. The reversal of 11201122000100 is 100022110211.

It can be written as a sum of positive squares in 6 ways, for example, as 627402304 + 11200494597796 = 25048^2 + 3346714^2 .

It is a super-2 number, since 2×11201122000100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847094 + ... + 4808306.

It is an arithmetic number, because the mean of its divisors is an integer number (675202790549).

Almost surely, 2^{11201122000100} is an apocalyptic number.

11201122000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201122000100 is an abundant number, since it is smaller than the sum of its proper divisors (13106178459664).

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

11201122000100 is a wasteful number, since it uses less digits than its factorization.

11201122000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989504 (or 3989497 counting only the distinct ones).

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

Adding to 11201122000100 its reverse (100022110211), we get a palindrome (11301144110311).

The spelling of 11201122000100 in words is "eleven trillion, two hundred one billion, one hundred twenty-two million, one hundred", and thus it is an aban number.