211121220101111 has 8 divisors (see below), whose sum is σ = 223089016289280. Its totient is φ = 199385808305112.

The previous prime is 211121220101069. The next prime is 211121220101119. The reversal of 211121220101111 is 111101022121112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211121220101111 - 2²² = 211121215906807 is a prime.

It is a super-2 number, since 2×211121220101111² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211121220101111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121220101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58096096175 + ... + 58096099808.

It is an arithmetic number, because the mean of its divisors is an integer number (27886127036160).

Almost surely, 2^{211121220101111} is an apocalyptic number.

211121220101111 is a deficient number, since it is larger than the sum of its proper divisors (11967796188169).

211121220101111 is a wasteful number, since it uses less digits than its factorization.

211121220101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116192196085.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 211121220101111 its reverse (111101022121112), we get a palindrome (322222242222223).

The spelling of 211121220101111 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred twenty million, one hundred one thousand, one hundred eleven".