211322101223112 has 192 divisors, whose sum is σ = 617314394289600. Its totient is φ = 60065970624000.

The previous prime is 211322101223111. The next prime is 211322101223113.

211322101223112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (211322101223111) and next prime (211322101223113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (211322101223111) 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 47 ways as a sum of consecutive naturals, for example, 13387443 + ... + 24532994.

It is an arithmetic number, because the mean of its divisors is an integer number (3215179136925).

Almost surely, 2^{211322101223112} is an apocalyptic number.

211322101223112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211322101223112 is an abundant number, since it is smaller than the sum of its proper divisors (405992293066488).

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

211322101223112 is a wasteful number, since it uses less digits than its factorization.

211322101223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37920588 (or 37920573 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 21132210 and 1223112, that added together give a palindrome (22355322).

The spelling of 211322101223112 in words is "two hundred eleven trillion, three hundred twenty-two billion, one hundred one million, two hundred twenty-three thousand, one hundred twelve".