211100110221011 has 10 divisors (see below), whose sum is σ = 232208679417060. Its totient is φ = 191909191096700.

The previous prime is 211100110220981. The next prime is 211100110221017. The reversal of 211100110221011 is 110122011001112.

It is not a de Polignac number, because 211100110221011 - 2⁴² = 206702063709907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211100110221017) 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 9 ways as a sum of consecutive naturals, for example, 7209196145 + ... + 7209225426.

It is an arithmetic number, because the mean of its divisors is an integer number (23220867941706).

Almost surely, 2^{211100110221011} is an apocalyptic number.

211100110221011 is a deficient number, since it is larger than the sum of its proper divisors (21108569196049).

211100110221011 is an frugal number, since it uses more digits than its factorization.

211100110221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14418421615 (or 14418421582 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211100110221011 its reverse (110122011001112), we get a palindrome (321222121222123).

The spelling of 211100110221011 in words is "two hundred eleven trillion, one hundred billion, one hundred ten million, two hundred twenty-one thousand, eleven".