211011021122011 has 16 divisors (see below), whose sum is σ = 232595280336096. Its totient is φ = 189829000000000.

The previous prime is 211011021121949. The next prime is 211011021122023. The reversal of 211011021122011 is 110221120110112.

It is a cyclic number.

It is not a de Polignac number, because 211011021122011 - 2⁷ = 211011021121883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211011021122711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47842990 + ... + 52067011.

It is an arithmetic number, because the mean of its divisors is an integer number (14537205021006).

Almost surely, 2^{211011021122011} is an apocalyptic number.

211011021122011 is a deficient number, since it is larger than the sum of its proper divisors (21584259214085).

211011021122011 is a wasteful number, since it uses less digits than its factorization.

211011021122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99912014.

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

Adding to 211011021122011 its reverse (110221120110112), we get a palindrome (321232141232123).

The spelling of 211011021122011 in words is "two hundred eleven trillion, eleven billion, twenty-one million, one hundred twenty-two thousand, eleven".