211102111100 has 72 divisors (see below), whose sum is σ = 467040763728. Its totient is φ = 82793318400.

The previous prime is 211102111081. The next prime is 211102111109. The reversal of 211102111100 is 1111201112.

211102111100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102111109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8610860 + ... + 8635340.

It is an arithmetic number, because the mean of its divisors is an integer number (6486677274).

Almost surely, 2^211102111100 is an apocalyptic number.

211102111100 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 211102111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233520381864).

211102111100 is an abundant number, since it is smaller than the sum of its proper divisors (255938652628).

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

211102111100 is a wasteful number, since it uses less digits than its factorization.

211102111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26175 (or 26168 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211102111100 its reverse (1111201112), we get a palindrome (212213312212).

The spelling of 211102111100 in words is "two hundred eleven billion, one hundred two million, one hundred eleven thousand, one hundred".