2121003201113 has 16 divisors (see below), whose sum is σ = 2287588275840. Its totient is φ = 1959934838400.

The previous prime is 2121003201103. The next prime is 2121003201127. The reversal of 2121003201113 is 3111023001212.

It is a cyclic number.

It is not a de Polignac number, because 2121003201113 - 2³⁰ = 2119929459289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121003201091 and 2121003201100.

It is not an unprimeable number, because it can be changed into a prime (2121003201103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3305156 + ... + 3894362.

It is an arithmetic number, because the mean of its divisors is an integer number (142974267240).

Almost surely, 2^{2121003201113} is an apocalyptic number.

It is an amenable number.

2121003201113 is a deficient number, since it is larger than the sum of its proper divisors (166585074727).

2121003201113 is a wasteful number, since it uses less digits than its factorization.

2121003201113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593888.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2121003201113 its reverse (3111023001212), we get a palindrome (5232026202325).

The spelling of 2121003201113 in words is "two trillion, one hundred twenty-one billion, three million, two hundred one thousand, one hundred thirteen".