111201220211201 has 16 divisors (see below), whose sum is σ = 115345770368400. Its totient is φ = 107077406892288.

The previous prime is 111201220211197. The next prime is 111201220211251. The reversal of 111201220211201 is 102112022102111.

It can be written as a sum of positive squares in 8 ways, for example, as 25542511681600 + 85658708529601 = 5053960^2 + 9255199^2 .

It is a cyclic number.

It is not a de Polignac number, because 111201220211201 - 2² = 111201220211197 is a prime.

It is a super-2 number, since 2×111201220211201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111201220211201.

It is not an unprimeable number, because it can be changed into a prime (111201220211251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90960671 + ... + 92175083.

It is an arithmetic number, because the mean of its divisors is an integer number (7209110648025).

Almost surely, 2^{111201220211201} is an apocalyptic number.

It is an amenable number.

111201220211201 is a deficient number, since it is larger than the sum of its proper divisors (4144550157199).

111201220211201 is a wasteful number, since it uses less digits than its factorization.

111201220211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222948.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 111201220211201 its reverse (102112022102111), we get a palindrome (213313242313312).

The spelling of 111201220211201 in words is "one hundred eleven trillion, two hundred one billion, two hundred twenty million, two hundred eleven thousand, two hundred one".