211101010113200 has 120 divisors (see below), whose sum is σ = 511846285090800. Its totient is φ = 83661933818880.

The previous prime is 211101010113187. The next prime is 211101010113229. The reversal of 211101010113200 is 2311010101112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086545666 + ... + 1086739934.

It is an arithmetic number, because the mean of its divisors is an integer number (4265385709090).

Almost surely, 2^{211101010113200} is an apocalyptic number.

211101010113200 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 211101010113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255923142545400).

211101010113200 is an abundant number, since it is smaller than the sum of its proper divisors (300745274977600).

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

211101010113200 is a wasteful number, since it uses less digits than its factorization.

211101010113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219319 (or 219308 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 211101010113200 its reverse (2311010101112), we get a palindrome (213412020214312).

The spelling of 211101010113200 in words is "two hundred eleven trillion, one hundred one billion, ten million, one hundred thirteen thousand, two hundred".