2005052102123 has 8 divisors (see below), whose sum is σ = 2291527142880. Its totient is φ = 1718586817920.

The previous prime is 2005052102107. The next prime is 2005052102147. The reversal of 2005052102123 is 3212012505002.

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

It is not a de Polignac number, because 2005052102123 - 2⁴ = 2005052102107 is a prime.

It is a super-2 number, since 2×2005052102123² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005052102153) 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, 1993328 + ... + 2825501.

It is an arithmetic number, because the mean of its divisors is an integer number (286440892860).

Almost surely, 2^{2005052102123} is an apocalyptic number.

2005052102123 is a deficient number, since it is larger than the sum of its proper divisors (286475040757).

2005052102123 is an equidigital number, since it uses as much as digits as its factorization.

2005052102123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878277.

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 2005052102123 its reverse (3212012505002), we get a palindrome (5217064607125).

The spelling of 2005052102123 in words is "two trillion, five billion, fifty-two million, one hundred two thousand, one hundred twenty-three".