1001122120221 has 32 divisors (see below), whose sum is σ = 1365765193728. Its totient is φ = 652001004480.

The previous prime is 1001122120183. The next prime is 1001122120223. The reversal of 1001122120221 is 1220212211001.

It is not a de Polignac number, because 1001122120221 - 2¹⁹ = 1001121595933 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001122120221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001122120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227680795 + ... + 227685191.

It is an arithmetic number, because the mean of its divisors is an integer number (42680162304).

Almost surely, 2^{1001122120221} is an apocalyptic number.

It is an amenable number.

1001122120221 is a deficient number, since it is larger than the sum of its proper divisors (364643073507).

1001122120221 is a wasteful number, since it uses less digits than its factorization.

1001122120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7081.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001122120221 its reverse (1220212211001), we get a palindrome (2221334331222).

The spelling of 1001122120221 in words is "one trillion, one billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".