22211011121101 has 12 divisors (see below), whose sum is σ = 24688067903100. Its totient is φ = 19964953807040.

The previous prime is 22211011121029. The next prime is 22211011121129. The reversal of 22211011121101 is 10112111011222.

It can be written as a sum of positive squares in 2 ways, for example, as 10207072912201 + 12003938208900 = 3194851^2 + 3464670^2 .

It is not a de Polignac number, because 22211011121101 - 2¹³ = 22211011112909 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 (22211011121191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1031236846 + ... + 1031258383.

It is an arithmetic number, because the mean of its divisors is an integer number (2057338991925).

Almost surely, 2^{22211011121101} is an apocalyptic number.

It is an amenable number.

22211011121101 is a deficient number, since it is larger than the sum of its proper divisors (2477056781999).

22211011121101 is a wasteful number, since it uses less digits than its factorization.

22211011121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062495340 (or 2062495329 counting only the distinct ones).

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

Adding to 22211011121101 its reverse (10112111011222), we get a palindrome (32323122132323).

It can be divided in two parts, 22211011121 and 101, that added together give a palindrome (22211011222).

The spelling of 22211011121101 in words is "twenty-two trillion, two hundred eleven billion, eleven million, one hundred twenty-one thousand, one hundred one".