211122211010101 has 4 divisors (see below), whose sum is σ = 211132794127500. Its totient is φ = 211111627892704.

The previous prime is 211122211010041. The next prime is 211122211010171. The reversal of 211122211010101 is 101010112221112.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 25545645232900 + 185576565777201 = 5054270^2 + 13622649^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122211010101 - 2¹⁵ = 211122210977333 is a prime.

It is a super-2 number, since 2×211122211010101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122211010171) 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 3 ways as a sum of consecutive naturals, for example, 5291528776 + ... + 5291568673.

It is an arithmetic number, because the mean of its divisors is an integer number (52783198531875).

Almost surely, 2^{211122211010101} is an apocalyptic number.

It is an amenable number.

211122211010101 is a deficient number, since it is larger than the sum of its proper divisors (10583117399).

211122211010101 is a wasteful number, since it uses less digits than its factorization.

211122211010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10583117398.

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

Adding to 211122211010101 its reverse (101010112221112), we get a palindrome (312132323231213).

The spelling of 211122211010101 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred eleven million, ten thousand, one hundred one".