2121010110013 has 8 divisors (see below), whose sum is σ = 2245806953208. Its totient is φ = 1996216771584.

The previous prime is 2121010109989. The next prime is 2121010110049. The reversal of 2121010110013 is 3100110101212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 627831200164 + 1493178909849 = 792358^2 + 1221957^2 .

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 2121010110013 - 2²¹ = 2121008012861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121010109975 and 2121010110002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121010110113) 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, 424995 + ... + 2103007.

It is an arithmetic number, because the mean of its divisors is an integer number (280725869151).

Almost surely, 2^{2121010110013} is an apocalyptic number.

It is an amenable number.

2121010110013 is a deficient number, since it is larger than the sum of its proper divisors (124796843195).

2121010110013 is a wasteful number, since it uses less digits than its factorization.

2121010110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752383.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2121010110013 its reverse (3100110101212), we get a palindrome (5221120211225).

The spelling of 2121010110013 in words is "two trillion, one hundred twenty-one billion, ten million, one hundred ten thousand, thirteen".