12211101102211 has 32 divisors (see below), whose sum is σ = 13592548347840. Its totient is φ = 10877395392000.

The previous prime is 12211101102173. The next prime is 12211101102217. The reversal of 12211101102211 is 11220110111221.

It is a cyclic number.

It is not a de Polignac number, because 12211101102211 - 2¹³ = 12211101094019 is a prime.

It is a super-2 number, since 2×12211101102211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211101102217) by changing a digit.

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, 103238341 + ... + 103356553.

It is an arithmetic number, because the mean of its divisors is an integer number (424767135870).

Almost surely, 2^{12211101102211} is an apocalyptic number.

12211101102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211101102211 is a deficient number, since it is larger than the sum of its proper divisors (1381447245629).

12211101102211 is a wasteful number, since it uses less digits than its factorization.

12211101102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119287.

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

Adding to 12211101102211 its reverse (11220110111221), we get a palindrome (23431211213432).

The spelling of 12211101102211 in words is "twelve trillion, two hundred eleven billion, one hundred one million, one hundred two thousand, two hundred eleven".