211101122220012 has 144 divisors (see below), whose sum is σ = 551645482463712. Its totient is φ = 68015448990720.

The previous prime is 211101122219959. The next prime is 211101122220061. The reversal of 211101122220012 is 210022221101112.

211101122220012 is a `hidden beast` number, since 211 + 10 + 11 + 222 + 200 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229301283 + ... + 230220069.

It is an arithmetic number, because the mean of its divisors is an integer number (3830871405998).

Almost surely, 2^{211101122220012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211101122220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275822741231856).

211101122220012 is an abundant number, since it is smaller than the sum of its proper divisors (340544360243700).

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

211101122220012 is a wasteful number, since it uses less digits than its factorization.

211101122220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919968 (or 919963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211101122220012 its reverse (210022221101112), we get a palindrome (421123343321124).

The spelling of 211101122220012 in words is "two hundred eleven trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty thousand, twelve".