211122101221112 has 32 divisors (see below), whose sum is σ = 397468599367680. Its totient is φ = 105131281807200.

The previous prime is 211122101221093. The next prime is 211122101221151.

It is a happy number.

211122101221112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211122101221112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 48349514 + ... + 52534937.

It is an arithmetic number, because the mean of its divisors is an integer number (12420893730240).

Almost surely, 2^{211122101221112} is an apocalyptic number.

It is an amenable number.

211122101221112 is a deficient number, since it is larger than the sum of its proper divisors (186346498146568).

211122101221112 is a wasteful number, since it uses less digits than its factorization.

211122101221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100885523 (or 100885519 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 21112210 and 1221112, that added together give a palindrome (22333322).

The spelling of 211122101221112 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, one hundred twelve".