211211111100 has 144 divisors (see below), whose sum is σ = 668246979456. Its totient is φ = 51080736000.

The previous prime is 211211111099. The next prime is 211211111113. The reversal of 211211111100 is 1111112112.

211211111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211211111100² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313287 + ... + 1465313.

It is an arithmetic number, because the mean of its divisors is an integer number (4640604024).

Almost surely, 2^211211111100 is an apocalyptic number.

211211111100 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 211211111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334123489728).

211211111100 is an abundant number, since it is smaller than the sum of its proper divisors (457035868356).

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

211211111100 is a wasteful number, since it uses less digits than its factorization.

211211111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152476 (or 152469 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211211111100 its reverse (1111112112), we get a palindrome (212322223212).

It can be divided in two parts, 21 and 1211111100, that added together give a palindrome (1211111121).

The spelling of 211211111100 in words is "two hundred eleven billion, two hundred eleven million, one hundred eleven thousand, one hundred".