211101212000000 has 378 divisors, whose sum is σ = 612710459861976. Its totient is φ = 72377491200000.

The previous prime is 211101211999987. The next prime is 211101212000017. The reversal of 211101212000000 is 212101112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 195461477 + ... + 196538523.

It is an arithmetic number, because the mean of its divisors is an integer number (1620927142492).

Almost surely, 2^{211101212000000} is an apocalyptic number.

211101212000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211101212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306355229930988).

211101212000000 is an abundant number, since it is smaller than the sum of its proper divisors (401609247861976).

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

211101212000000 is an frugal number, since it uses more digits than its factorization.

211101212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077107 (or 1077061 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211101212000000 its reverse (212101112), we get a palindrome (211101424101112).

The spelling of 211101212000000 in words is "two hundred eleven trillion, one hundred one billion, two hundred twelve million", and thus it is an aban number.