11211001112221 has 16 divisors (see below), whose sum is σ = 11618090967600. Its totient is φ = 10818156538560.

The previous prime is 11211001112167. The next prime is 11211001112251. The reversal of 11211001112221 is 12221110011211.

11211001112221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8179537080121 + 3031464032100 = 2859989^2 + 1741110^2 .

It is not a de Polignac number, because 11211001112221 - 2¹¹ = 11211001110173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11211001112195 and 11211001112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211001112251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42329235 + ... + 42593263.

It is an arithmetic number, because the mean of its divisors is an integer number (726130685475).

Almost surely, 2^{11211001112221} is an apocalyptic number.

It is an amenable number.

11211001112221 is a deficient number, since it is larger than the sum of its proper divisors (407089855379).

11211001112221 is an frugal number, since it uses more digits than its factorization.

11211001112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265857 (or 265799 counting only the distinct ones).

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

Adding to 11211001112221 its reverse (12221110011211), we get a palindrome (23432111123432).

The spelling of 11211001112221 in words is "eleven trillion, two hundred eleven billion, one million, one hundred twelve thousand, two hundred twenty-one".