12221011211101 has 96 divisors (see below), whose sum is σ = 15830946892800. Its totient is φ = 9161537088000.

The previous prime is 12221011211053. The next prime is 12221011211183. The reversal of 12221011211101 is 10111211012221.

12221011211101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12221011211101 - 2¹⁷ = 12221011080029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221011211401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4124538246 + ... + 4124541208.

It is an arithmetic number, because the mean of its divisors is an integer number (164905696800).

Almost surely, 2^{12221011211101} is an apocalyptic number.

12221011211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221011211101 is a deficient number, since it is larger than the sum of its proper divisors (3609935681699).

12221011211101 is a wasteful number, since it uses less digits than its factorization.

12221011211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3230 counting only the distinct ones).

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

Adding to 12221011211101 its reverse (10111211012221), we get a palindrome (22332222223322).

It can be divided in two parts, 122210 and 11211101, that added together give a palindrome (11333311).

The spelling of 12221011211101 in words is "twelve trillion, two hundred twenty-one billion, eleven million, two hundred eleven thousand, one hundred one".