211210102002112 has 112 divisors (see below), whose sum is σ = 421210980792000. Its totient is φ = 105079695114240.

The previous prime is 211210102002101. The next prime is 211210102002167. The reversal of 211210102002112 is 211200201012112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31101469437 + ... + 31101476227.

It is an arithmetic number, because the mean of its divisors is an integer number (3760812328500).

Almost surely, 2^{211210102002112} is an apocalyptic number.

It is an amenable number.

211210102002112 is a deficient number, since it is larger than the sum of its proper divisors (210000878789888).

211210102002112 is a wasteful number, since it uses less digits than its factorization.

211210102002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9894 (or 9884 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211210102002112 its reverse (211200201012112), we get a palindrome (422410303014224).

The spelling of 211210102002112 in words is "two hundred eleven trillion, two hundred ten billion, one hundred two million, two thousand, one hundred twelve".