211122121011102 has 64 divisors (see below), whose sum is σ = 536352470691840. Its totient is φ = 60301559053728.

The previous prime is 211122121011049. The next prime is 211122121011161. The reversal of 211122121011102 is 201110121221112.

It is a happy number.

211122121011102 is a `hidden beast` number, since 211 + 1 + 221 + 210 + 11 + 10 + 2 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 86981613 + ... + 89375864.

It is an arithmetic number, because the mean of its divisors is an integer number (8380507354560).

Almost surely, 2^{211122121011102} is an apocalyptic number.

211122121011102 is an abundant number, since it is smaller than the sum of its proper divisors (325230349680738).

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

211122121011102 is a wasteful number, since it uses less digits than its factorization.

211122121011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176360662 (or 176360656 counting only the distinct ones).

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

Adding to 211122121011102 its reverse (201110121221112), we get a palindrome (412232242232214).

The spelling of 211122121011102 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred twenty-one million, eleven thousand, one hundred two".