221001100001121 has 32 divisors (see below), whose sum is σ = 330396748674048. Its totient is φ = 130220348725440.

The previous prime is 221001100001117. The next prime is 221001100001161. The reversal of 221001100001121 is 121100001100122.

It is not a de Polignac number, because 221001100001121 - 2² = 221001100001117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221001100001097 and 221001100001106.

It is not an unprimeable number, because it can be changed into a prime (221001100001161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67646725 + ... + 70838418.

It is an arithmetic number, because the mean of its divisors is an integer number (10324898396064).

Almost surely, 2^{221001100001121} is an apocalyptic number.

It is an amenable number.

221001100001121 is a deficient number, since it is larger than the sum of its proper divisors (109395648672927).

221001100001121 is a wasteful number, since it uses less digits than its factorization.

221001100001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138486501.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221001100001121 its reverse (121100001100122), we get a palindrome (342101101101243).

It can be divided in two parts, 221001100001 and 121, that added together give a palindrome (221001100122).

The spelling of 221001100001121 in words is "two hundred twenty-one trillion, one billion, one hundred million, one thousand, one hundred twenty-one".