1002120101013 has 8 divisors (see below), whose sum is σ = 1341704368576. Its totient is φ = 665307950400.

The previous prime is 1002120100987. The next prime is 1002120101023. The reversal of 1002120101013 is 3101010212001.

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

It is not a de Polignac number, because 1002120101013 - 2⁵ = 1002120100981 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002120101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002120101023) 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, 693028393 + ... + 693029838.

It is an arithmetic number, because the mean of its divisors is an integer number (167713046072).

Almost surely, 2^{1002120101013} is an apocalyptic number.

It is an amenable number.

1002120101013 is a deficient number, since it is larger than the sum of its proper divisors (339584267563).

1002120101013 is a wasteful number, since it uses less digits than its factorization.

1002120101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386058475.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1002120101013 its reverse (3101010212001), we get a palindrome (4103130313014).

The spelling of 1002120101013 in words is "one trillion, two billion, one hundred twenty million, one hundred one thousand, thirteen".