11201022120100 has 18 divisors (see below), whose sum is σ = 24306218000834. Its totient is φ = 4480408848000.

The previous prime is 11201022120077. The next prime is 11201022120131. The reversal of 11201022120100 is 102122010211.

11201022120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 243015477156 + 10958006642944 = 492966^2 + 3310288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56005110501 + ... + 56005110700.

Almost surely, 2^{11201022120100} is an apocalyptic number.

11201022120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201022120100 is an abundant number, since it is smaller than the sum of its proper divisors (13105195880734).

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

11201022120100 is a wasteful number, since it uses less digits than its factorization.

11201022120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112010221215 (or 112010221208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11201022120100 its reverse (102122010211), we get a palindrome (11303144130311).

The spelling of 11201022120100 in words is "eleven trillion, two hundred one billion, twenty-two million, one hundred twenty thousand, one hundred".