2221131101101 has 32 divisors (see below), whose sum is σ = 2593123234560. Its totient is φ = 1895778593280.

The previous prime is 2221131101087. The next prime is 2221131101107. The reversal of 2221131101101 is 1011011311222.

It is a happy number.

It is not a de Polignac number, because 2221131101101 - 2⁵ = 2221131101069 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 (2221131101107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9134440 + ... + 9374446.

It is an arithmetic number, because the mean of its divisors is an integer number (81035101080).

Almost surely, 2^{2221131101101} is an apocalyptic number.

It is an amenable number.

2221131101101 is a deficient number, since it is larger than the sum of its proper divisors (371992133459).

2221131101101 is a wasteful number, since it uses less digits than its factorization.

2221131101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240466 (or 240444 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2221131101101 its reverse (1011011311222), we get a palindrome (3232142412323).

It can be divided in two parts, 2221131 and 101101, that added together give a palindrome (2322232).

The spelling of 2221131101101 in words is "two trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred one thousand, one hundred one".