211010111200000 has 648 divisors, whose sum is σ = 616100381989344. Its totient is φ = 71910881280000.

The previous prime is 211010111199991. The next prime is 211010111200019. The reversal of 211010111200000 is 2111010112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 211010111200000.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6546383884 + ... + 6546416116.

It is an arithmetic number, because the mean of its divisors is an integer number (950772194428).

Almost surely, 2^{211010111200000} is an apocalyptic number.

211010111200000 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 211010111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308050190994672).

211010111200000 is an abundant number, since it is smaller than the sum of its proper divisors (405090270789344).

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

211010111200000 is an frugal number, since it uses more digits than its factorization.

211010111200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32455 (or 32414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211010111200000 its reverse (2111010112), we get a palindrome (211012222210112).

The spelling of 211010111200000 in words is "two hundred eleven trillion, ten billion, one hundred eleven million, two hundred thousand".