211012220111100 has 144 divisors (see below), whose sum is σ = 618345223372800. Its totient is φ = 55549711077120.

The previous prime is 211012220111093. The next prime is 211012220111107. The reversal of 211012220111100 is 1111022210112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211012220111093) and next prime (211012220111107).

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 211012220111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211012220111107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166191862 + ... + 167456738.

It is an arithmetic number, because the mean of its divisors is an integer number (4294064051200).

Almost surely, 2^{211012220111100} is an apocalyptic number.

211012220111100 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 211012220111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309172611686400).

211012220111100 is an abundant number, since it is smaller than the sum of its proper divisors (407333003261700).

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

211012220111100 is a wasteful number, since it uses less digits than its factorization.

211012220111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272012 (or 1272005 counting only the distinct ones).

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

Adding to 211012220111100 its reverse (1111022210112), we get a palindrome (212123242321212).

The spelling of 211012220111100 in words is "two hundred eleven trillion, twelve billion, two hundred twenty million, one hundred eleven thousand, one hundred".