11201221121101 has 48 divisors (see below), whose sum is σ = 12492681062400. Its totient is φ = 10034697768480.

The previous prime is 11201221121089. The next prime is 11201221121113. The reversal of 11201221121101 is 10112112210211.

It is an interprime number because it is at equal distance from previous prime (11201221121089) and next prime (11201221121113).

It is not a de Polignac number, because 11201221121101 - 2⁹ = 11201221120589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201221191101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2414574340 + ... + 2414578978.

It is an arithmetic number, because the mean of its divisors is an integer number (260264188800).

Almost surely, 2^{11201221121101} is an apocalyptic number.

11201221121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11201221121101 is a deficient number, since it is larger than the sum of its proper divisors (1291459941299).

11201221121101 is a wasteful number, since it uses less digits than its factorization.

11201221121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5699 counting only the distinct ones).

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

Adding to 11201221121101 its reverse (10112112210211), we get a palindrome (21313333331312).

The spelling of 11201221121101 in words is "eleven trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred one".