221101121200011 has 192 divisors, whose sum is σ = 347407380160512. Its totient is φ = 124239329280000.

The previous prime is 221101121200009. The next prime is 221101121200021. The reversal of 221101121200011 is 110002121101122.

It is a happy number.

It is not a de Polignac number, because 221101121200011 - 2¹ = 221101121200009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221101121200021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82778404206 + ... + 82778406876.

It is an arithmetic number, because the mean of its divisors is an integer number (1809413438336).

Almost surely, 2^{221101121200011} is an apocalyptic number.

221101121200011 is a deficient number, since it is larger than the sum of its proper divisors (126306258960501).

221101121200011 is a wasteful number, since it uses less digits than its factorization.

221101121200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221101121200011 its reverse (110002121101122), we get a palindrome (331103242301133).

The spelling of 221101121200011 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred twenty-one million, two hundred thousand, eleven".