211221000111011 has 48 divisors (see below), whose sum is σ = 249958310676480. Its totient is φ = 177923869780800.

The previous prime is 211221000110969. The next prime is 211221000111029. The reversal of 211221000111011 is 110111000122112.

It is not a de Polignac number, because 211221000111011 - 2⁴² = 206822953599907 is a prime.

It is a super-2 number, since 2×211221000111011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211221000111211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2589026 + ... + 20715816.

It is an arithmetic number, because the mean of its divisors is an integer number (5207464805760).

Almost surely, 2^{211221000111011} is an apocalyptic number.

211221000111011 is a deficient number, since it is larger than the sum of its proper divisors (38737310565469).

211221000111011 is a wasteful number, since it uses less digits than its factorization.

211221000111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18126968 (or 18126957 counting only the distinct ones).

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

Adding to 211221000111011 its reverse (110111000122112), we get a palindrome (321332000233123).

The spelling of 211221000111011 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred eleven thousand, eleven".