211112100200100 has 288 divisors, whose sum is σ = 705568001757696. Its totient is φ = 48166501017600.

The previous prime is 211112100200039. The next prime is 211112100200137. The reversal of 211112100200100 is 1002001211112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2378763927 + ... + 2378852673.

It is an arithmetic number, because the mean of its divisors is an integer number (2449888894992).

Almost surely, 2^{211112100200100} is an apocalyptic number.

211112100200100 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 211112100200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352784000878848).

211112100200100 is an abundant number, since it is smaller than the sum of its proper divisors (494455901557596).

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

211112100200100 is a wasteful number, since it uses less digits than its factorization.

211112100200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131195 (or 131188 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211112100200100 its reverse (1002001211112), we get a palindrome (212114101411212).

The spelling of 211112100200100 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred million, two hundred thousand, one hundred".