1002221101 has 32 divisors (see below), whose sum is σ = 1226016000. Its totient is φ = 800243712.

The previous prime is 1002221089. The next prime is 1002221119. The reversal of 1002221101 is 1011222001.

It is a cyclic number.

It is not a de Polignac number, because 1002221101 - 2²³ = 993832493 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 (1002221191) 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, 3725595 + ... + 3725863.

It is an arithmetic number, because the mean of its divisors is an integer number (38313000).

Almost surely, 2^1002221101 is an apocalyptic number.

It is an amenable number.

1002221101 is a deficient number, since it is larger than the sum of its proper divisors (223794899).

1002221101 is a wasteful number, since it uses less digits than its factorization.

1002221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661.

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

The square root of 1002221101 is about 31657.8758131369. The cubic root of 1002221101 is about 1000.7398195321.

Adding to 1002221101 its reverse (1011222001), we get a palindrome (2013443102).

The spelling of 1002221101 in words is "one billion, two million, two hundred twenty-one thousand, one hundred one".