1002121102013 has 8 divisors (see below), whose sum is σ = 1022573756376. Its totient is φ = 981725659200.

The previous prime is 1002121101997. The next prime is 1002121102051. The reversal of 1002121102013 is 3102011212001.

It can be written as a sum of positive squares in 4 ways, for example, as 561813209764 + 440307892249 = 749542^2 + 663557^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1002121102013 - 2⁴ = 1002121101997 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 (1002121102063) 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, 14267498 + ... + 14337563.

It is an arithmetic number, because the mean of its divisors is an integer number (127821719547).

Almost surely, 2^{1002121102013} is an apocalyptic number.

It is an amenable number.

1002121102013 is a deficient number, since it is larger than the sum of its proper divisors (20452654363).

1002121102013 is an equidigital number, since it uses as much as digits as its factorization.

1002121102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28605775.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1002121102013 its reverse (3102011212001), we get a palindrome (4104132314014).

The spelling of 1002121102013 in words is "one trillion, two billion, one hundred twenty-one million, one hundred two thousand, thirteen".