211112121110100 has 216 divisors, whose sum is σ = 752339734675200. Its totient is φ = 45415716756480.

The previous prime is 211112121110017. The next prime is 211112121110141. The reversal of 211112121110100 is 1011121211112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211112121110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422143300 + ... + 422643099.

It is an arithmetic number, because the mean of its divisors is an integer number (3483054327200).

Almost surely, 2^{211112121110100} is an apocalyptic number.

211112121110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112121110100 is an abundant number, since it is smaller than the sum of its proper divisors (541227613565100).

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

211112121110100 is a wasteful number, since it uses less digits than its factorization.

211112121110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844786447 (or 844786433 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211112121110100 its reverse (1011121211112), we get a palindrome (212123242321212).

The spelling of 211112121110100 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred ten thousand, one hundred".