211101212011122 has 12 divisors (see below), whose sum is σ = 457385959357470. Its totient is φ = 70367070670368.

The previous prime is 211101212011121. The next prime is 211101212011153. The reversal of 211101212011122 is 221110212101112.

It is a happy number.

211101212011122 is a `hidden beast` number, since 211 + 10 + 121 + 201 + 1 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154904434415721 + 56196777595401 = 12446061^2 + 7496451^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11727845111729 = 211101212011122 / (2 + 1 + 1 + 1 + 0 + 1 + 2 + 1 + 2 + 0 + 1 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 211101212011095 and 211101212011104.

It is not an unprimeable number, because it can be changed into a prime (211101212011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5863922555847 + ... + 5863922555882.

Almost surely, 2^{211101212011122} is an apocalyptic number.

211101212011122 is an abundant number, since it is smaller than the sum of its proper divisors (246284747346348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211101212011122 is a wasteful number, since it uses less digits than its factorization.

211101212011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11727845111737 (or 11727845111734 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211101212011122 its reverse (221110212101112), we get a palindrome (432211424112234).

The spelling of 211101212011122 in words is "two hundred eleven trillion, one hundred one billion, two hundred twelve million, eleven thousand, one hundred twenty-two".