211022110200 has 192 divisors, whose sum is σ = 713919841920. Its totient is φ = 51136704000.

The previous prime is 211022110171. The next prime is 211022110331. The reversal of 211022110200 is 2011220112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 23207655 + ... + 23216745.

It is an arithmetic number, because the mean of its divisors is an integer number (3718332510).

Almost surely, 2^211022110200 is an apocalyptic number.

211022110200 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 211022110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356959920960).

211022110200 is an abundant number, since it is smaller than the sum of its proper divisors (502897731720).

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

211022110200 is a wasteful number, since it uses less digits than its factorization.

211022110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12638 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211022110200 its reverse (2011220112), we get a palindrome (213033330312).

It can be divided in two parts, 21102 and 2110200, that multiplied together give a square (44529440400 = 211020²).

The spelling of 211022110200 in words is "two hundred eleven billion, twenty-two million, one hundred ten thousand, two hundred".