10002002122013 has 8 divisors (see below), whose sum is σ = 11287525906080. Its totient is φ = 8779186815280.

The previous prime is 10002002122003. The next prime is 10002002122043. The reversal of 10002002122013 is 31022120020001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002002122013 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 (10002002122003) 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 7 ways as a sum of consecutive naturals, for example, 15677118995 + ... + 15677119632.

It is an arithmetic number, because the mean of its divisors is an integer number (1410940738260).

Almost surely, 2^{10002002122013} is an apocalyptic number.

It is an amenable number.

10002002122013 is a deficient number, since it is larger than the sum of its proper divisors (1285523784067).

10002002122013 is a wasteful number, since it uses less digits than its factorization.

10002002122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31354238667.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10002002122013 its reverse (31022120020001), we get a palindrome (41024122142014).

It can be divided in two parts, 1000200 and 2122013, that added together give a palindrome (3122213).

The spelling of 10002002122013 in words is "ten trillion, two billion, two million, one hundred twenty-two thousand, thirteen".