211101101122212 has 432 divisors, whose sum is σ = 651763397376000. Its totient is φ = 57333255598080.

The previous prime is 211101101122187. The next prime is 211101101122243. The reversal of 211101101122212 is 212221101101112.

It is a happy number.

211101101122212 is a `hidden beast` number, since 211 + 10 + 110 + 1 + 122 + 212 = 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 143 ways as a sum of consecutive naturals, for example, 8128952364 + ... + 8128978332.

It is an arithmetic number, because the mean of its divisors is an integer number (1508711568000).

Almost surely, 2^{211101101122212} 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 211101101122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325881698688000).

211101101122212 is an abundant number, since it is smaller than the sum of its proper divisors (440662296253788).

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

211101101122212 is a wasteful number, since it uses less digits than its factorization.

211101101122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27256 (or 27244 counting only the distinct ones).

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

Adding to 211101101122212 its reverse (212221101101112), we get a palindrome (423322202223324).

The spelling of 211101101122212 in words is "two hundred eleven trillion, one hundred one billion, one hundred one million, one hundred twenty-two thousand, two hundred twelve".