10002144120311 has 8 divisors (see below), whose sum is σ = 11431048812960. Its totient is φ = 8573246167968.

The previous prime is 10002144120251. The next prime is 10002144120341. The reversal of 10002144120311 is 11302144120001.

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 10002144120311 - 2³⁰ = 10001070378487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002144120341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2045345 + ... + 4918101.

It is an arithmetic number, because the mean of its divisors is an integer number (1428881101620).

Almost surely, 2^{10002144120311} is an apocalyptic number.

10002144120311 is a deficient number, since it is larger than the sum of its proper divisors (1428904692649).

10002144120311 is an equidigital number, since it uses as much as digits as its factorization.

10002144120311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370153.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10002144120311 its reverse (11302144120001), we get a palindrome (21304288240312).

The spelling of 10002144120311 in words is "ten trillion, two billion, one hundred forty-four million, one hundred twenty thousand, three hundred eleven".