1001120221001 has 32 divisors (see below), whose sum is σ = 1038107664000. Its totient is φ = 965018424832.

The previous prime is 1001120220983. The next prime is 1001120221009. The reversal of 1001120221001 is 1001220211001.

1001120221001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001120221001 - 2¹⁸ = 1001119958857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001120221009) 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, 358951715 + ... + 358954503.

It is an arithmetic number, because the mean of its divisors is an integer number (32440864500).

Almost surely, 2^{1001120221001} is an apocalyptic number.

It is an amenable number.

1001120221001 is a deficient number, since it is larger than the sum of its proper divisors (36987442999).

1001120221001 is a wasteful number, since it uses less digits than its factorization.

1001120221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001120221001 its reverse (1001220211001), we get a palindrome (2002340432002).

The spelling of 1001120221001 in words is "one trillion, one billion, one hundred twenty million, two hundred twenty-one thousand, one".