211102101200 has 270 divisors, whose sum is σ = 543586346082. Its totient is φ = 78778291200.

The previous prime is 211102101097. The next prime is 211102101211. The reversal of 211102101200 is 2101201112.

It can be written as a sum of positive squares in 9 ways, for example, as 77564478016 + 133537623184 = 278504^2 + 365428^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 323280074 + ... + 323280726.

Almost surely, 2^211102101200 is an apocalyptic number.

211102101200 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 211102101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271793173041).

211102101200 is an abundant number, since it is smaller than the sum of its proper divisors (332484244882).

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

211102101200 is a wasteful number, since it uses less digits than its factorization.

211102101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 720 counting only the distinct ones).

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

Adding to 211102101200 its reverse (2101201112), we get a palindrome (213203302312).

The spelling of 211102101200 in words is "two hundred eleven billion, one hundred two million, one hundred one thousand, two hundred".