1002220101001 has 6 divisors (see below), whose sum is σ = 1165847872650. Its totient is φ = 859045800816.

The previous prime is 1002220100971. The next prime is 1002220101037. The reversal of 1002220101001 is 1001010222001.

It can be written as a sum of positive squares in only one way, i.e., 993163723776 + 9056377225 = 996576^2 + 95165^2 .

It is not a de Polignac number, because 1002220101001 - 2²³ = 1002211712393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002220101061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10226735676 + ... + 10226735773.

It is an arithmetic number, because the mean of its divisors is an integer number (194307978775).

Almost surely, 2^{1002220101001} is an apocalyptic number.

It is an amenable number.

1002220101001 is a deficient number, since it is larger than the sum of its proper divisors (163627771649).

1002220101001 is an equidigital number, since it uses as much as digits as its factorization.

1002220101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20453471463 (or 20453471456 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002220101001 its reverse (1001010222001), we get a palindrome (2003230323002).

The spelling of 1002220101001 in words is "one trillion, two billion, two hundred twenty million, one hundred one thousand, one".