211100012011100 has 72 divisors (see below), whose sum is σ = 462480509457120. Its totient is φ = 83630785754880.

The previous prime is 211100012011099. The next prime is 211100012011121. The reversal of 211100012011100 is 1110210001112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22414214 + ... + 30407186.

Almost surely, 2^{211100012011100} is an apocalyptic number.

211100012011100 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 211100012011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231240254728560).

211100012011100 is an abundant number, since it is smaller than the sum of its proper divisors (251380497446020).

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

211100012011100 is a wasteful number, since it uses less digits than its factorization.

211100012011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995519 (or 7995512 counting only the distinct ones).

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

Adding to 211100012011100 its reverse (1110210001112), we get a palindrome (212210222012212).

The spelling of 211100012011100 in words is "two hundred eleven trillion, one hundred billion, twelve million, eleven thousand, one hundred".