10102002213333 has 16 divisors (see below), whose sum is σ = 13800929094656. Its totient is φ = 6569288838000.

The previous prime is 10102002213311. The next prime is 10102002213343. The reversal of 10102002213333 is 33331220020101.

It is not a de Polignac number, because 10102002213333 - 2⁵ = 10102002213301 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 (10102002213343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52040335 + ... + 52234092.

It is an arithmetic number, because the mean of its divisors is an integer number (862558068416).

Almost surely, 2^{10102002213333} is an apocalyptic number.

It is an amenable number.

10102002213333 is a deficient number, since it is larger than the sum of its proper divisors (3698926881323).

10102002213333 is a wasteful number, since it uses less digits than its factorization.

10102002213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104275224.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10102002213333 its reverse (33331220020101), we get a palindrome (43433222233434).

The spelling of 10102002213333 in words is "ten trillion, one hundred two billion, two million, two hundred thirteen thousand, three hundred thirty-three".