102002003313221 has 16 divisors (see below), whose sum is σ = 113646257998848. Its totient is φ = 90753104578800.

The previous prime is 102002003313151. The next prime is 102002003313241. The reversal of 102002003313221 is 122313300200201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102002003313221 is a prime.

It is a super-2 number, since 2×102002003313221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102002003313193 and 102002003313202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002003313241) 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 15 ways as a sum of consecutive naturals, for example, 12278726 + ... + 18835368.

It is an arithmetic number, because the mean of its divisors is an integer number (7102891124928).

Almost surely, 2^{102002003313221} is an apocalyptic number.

102002003313221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102002003313221 is a deficient number, since it is larger than the sum of its proper divisors (11644254685627).

102002003313221 is a wasteful number, since it uses less digits than its factorization.

102002003313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586792.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102002003313221 its reverse (122313300200201), we get a palindrome (224315303513422).

The spelling of 102002003313221 in words is "one hundred two trillion, two billion, three million, three hundred thirteen thousand, two hundred twenty-one".