211200121021110 has 128 divisors (see below), whose sum is σ = 546767262720000. Its totient is φ = 51902407928832.

The previous prime is 211200121021069. The next prime is 211200121021147. The reversal of 211200121021110 is 11120121002112.

It is a happy number.

It is a super-2 number, since 2×211200121021110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211200121021110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1143700066 + ... + 1143884714.

It is an arithmetic number, because the mean of its divisors is an integer number (4271619240000).

Almost surely, 2^{211200121021110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211200121021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273383631360000).

211200121021110 is an abundant number, since it is smaller than the sum of its proper divisors (335567141698890).

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

211200121021110 is a wasteful number, since it uses less digits than its factorization.

211200121021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189470.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211200121021110 its reverse (11120121002112), we get a palindrome (222320242023222).

The spelling of 211200121021110 in words is "two hundred eleven trillion, two hundred billion, one hundred twenty-one million, twenty-one thousand, one hundred ten".