211100111101012 has 96 divisors (see below), whose sum is σ = 443472817761792. Its totient is φ = 85967022974976.

The previous prime is 211100111101007. The next prime is 211100111101031. The reversal of 211100111101012 is 210101111001112.

It is a junction number, because it is equal to n+sod(n) for n = 211100111100983 and 211100111101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57273448 + ... + 60847744.

It is an arithmetic number, because the mean of its divisors is an integer number (4619508518352).

Almost surely, 2^{211100111101012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211100111101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221736408880896).

211100111101012 is an abundant number, since it is smaller than the sum of its proper divisors (232372706660780).

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

211100111101012 is a wasteful number, since it uses less digits than its factorization.

211100111101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574937 (or 3574935 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 211100111101012 its reverse (210101111001112), we get a palindrome (421201222102124).

The spelling of 211100111101012 in words is "two hundred eleven trillion, one hundred billion, one hundred eleven million, one hundred one thousand, twelve".