11201100022100 has 18 divisors (see below), whose sum is σ = 24306387048174. Its totient is φ = 4480440008800.

The previous prime is 11201100022097. The next prime is 11201100022111. The reversal of 11201100022100 is 122000110211.

11201100022100 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 2439606581776 + 8761493440324 = 1561924^2 + 2959982^2 .

It is a congruent number.

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, 56005500011 + ... + 56005500210.

Almost surely, 2^{11201100022100} is an apocalyptic number.

11201100022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201100022100 is an abundant number, since it is smaller than the sum of its proper divisors (13105287026074).

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

11201100022100 is a wasteful number, since it uses less digits than its factorization.

11201100022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112011000235 (or 112011000228 counting only the distinct ones).

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

Adding to 11201100022100 its reverse (122000110211), we get a palindrome (11323100132311).

The spelling of 11201100022100 in words is "eleven trillion, two hundred one billion, one hundred million, twenty-two thousand, one hundred".