2002221102013 has 16 divisors (see below), whose sum is σ = 2230834074624. Its totient is φ = 1781377763760.

The previous prime is 2002221101989. The next prime is 2002221102023. The reversal of 2002221102013 is 3102011222002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2002221102013 - 2²⁹ = 2001684231101 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 (2002221102023) 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, 10612006 + ... + 10799032.

It is an arithmetic number, because the mean of its divisors is an integer number (139427129664).

Almost surely, 2^{2002221102013} is an apocalyptic number.

It is an amenable number.

2002221102013 is a deficient number, since it is larger than the sum of its proper divisors (228612972611).

2002221102013 is a wasteful number, since it uses less digits than its factorization.

2002221102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207792.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2002221102013 its reverse (3102011222002), we get a palindrome (5104232324015).

The spelling of 2002221102013 in words is "two trillion, two billion, two hundred twenty-one million, one hundred two thousand, thirteen".