211102121201112 has 24 divisors (see below), whose sum is σ = 571734911586540. Its totient is φ = 70367373733680.

The previous prime is 211102121201003. The next prime is 211102121201119.

It is a happy number.

211102121201112 is a `hidden beast` number, since 211 + 10 + 212 + 120 + 1 + 112 = 666.

211102121201112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102121201119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1465986952714 + ... + 1465986952857.

Almost surely, 2^{211102121201112} is an apocalyptic number.

It is an amenable number.

211102121201112 is an abundant number, since it is smaller than the sum of its proper divisors (360632790385428).

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

211102121201112 is a wasteful number, since it uses less digits than its factorization.

211102121201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931973905583 (or 2931973905576 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 211102121201112 in words is "two hundred eleven trillion, one hundred two billion, one hundred twenty-one million, two hundred one thousand, one hundred twelve".