211111101212101 has 8 divisors (see below), whose sum is σ = 219920413222400. Its totient is φ = 202426743982320.

The previous prime is 211111101212017. The next prime is 211111101212267. The reversal of 211111101212101 is 101212101111112.

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 211111101212101 - 2⁷ = 211111101211973 is a prime.

It is a super-3 number, since 3×211111101212101³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211111101210101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31238691681 + ... + 31238698438.

It is an arithmetic number, because the mean of its divisors is an integer number (27490051652800).

Almost surely, 2^{211111101212101} is an apocalyptic number.

It is an amenable number.

211111101212101 is a deficient number, since it is larger than the sum of its proper divisors (8809312010299).

211111101212101 is a wasteful number, since it uses less digits than its factorization.

211111101212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62477390259.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 211111101212101 its reverse (101212101111112), we get a palindrome (312323202323213).

The spelling of 211111101212101 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred one million, two hundred twelve thousand, one hundred one".