211111210100 has 72 divisors (see below), whose sum is σ = 541609501440. Its totient is φ = 69885083520.

The previous prime is 211111210081. The next prime is 211111210117. The reversal of 211111210100 is 1012111112.

211111210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 5179484 + ... + 5220083.

Almost surely, 2^211111210100 is an apocalyptic number.

211111210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211111210100 is an abundant number, since it is smaller than the sum of its proper divisors (330498291340).

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

211111210100 is a wasteful number, since it uses less digits than its factorization.

211111210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399617 (or 10399610 counting only the distinct ones).

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

Adding to 211111210100 its reverse (1012111112), we get a palindrome (212123321212).

It can be divided in two parts, 2111112 and 10100, that added together give a palindrome (2121212).

The spelling of 211111210100 in words is "two hundred eleven billion, one hundred eleven million, two hundred ten thousand, one hundred".