2113121003201 has 8 divisors (see below), whose sum is σ = 2275700277480. Its totient is φ = 1950546229632.

The previous prime is 2113121003167. The next prime is 2113121003209. The reversal of 2113121003201 is 1023001213112.

It can be written as a sum of positive squares in 4 ways, for example, as 1260455290000 + 852665713201 = 1122700^2 + 923399^2 .

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

It is not a de Polignac number, because 2113121003201 - 2¹⁰ = 2113121002177 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 2113121003201.

It is not an unprimeable number, because it can be changed into a prime (2113121003209) 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, 116546 + ... + 2059083.

It is an arithmetic number, because the mean of its divisors is an integer number (284462534685).

Almost surely, 2^{2113121003201} is an apocalyptic number.

It is an amenable number.

2113121003201 is a deficient number, since it is larger than the sum of its proper divisors (162579274279).

2113121003201 is a wasteful number, since it uses less digits than its factorization.

2113121003201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250355.

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

Adding to 2113121003201 its reverse (1023001213112), we get a palindrome (3136122216313).

The spelling of 2113121003201 in words is "two trillion, one hundred thirteen billion, one hundred twenty-one million, three thousand, two hundred one".