1002102221101 has 16 divisors (see below), whose sum is σ = 1058974358400. Its totient is φ = 946385814528.

The previous prime is 1002102221093. The next prime is 1002102221111. The reversal of 1002102221101 is 1011222012001.

It is a cyclic number.

It is not a de Polignac number, because 1002102221101 - 2³ = 1002102221093 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 (1002102221111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398785 + ... + 1470793.

It is an arithmetic number, because the mean of its divisors is an integer number (66185897400).

Almost surely, 2^{1002102221101} is an apocalyptic number.

It is an amenable number.

1002102221101 is a deficient number, since it is larger than the sum of its proper divisors (56872137299).

1002102221101 is a wasteful number, since it uses less digits than its factorization.

1002102221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072548.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1002102221101 its reverse (1011222012001), we get a palindrome (2013324233102).

The spelling of 1002102221101 in words is "one trillion, two billion, one hundred two million, two hundred twenty-one thousand, one hundred one".