2123010102113 has 8 divisors (see below), whose sum is σ = 2128717741800. Its totient is φ = 2117303745408.

The previous prime is 2123010102089. The next prime is 2123010102119. The reversal of 2123010102113 is 3112010103212.

It can be written as a sum of positive squares in 4 ways, for example, as 53690450944 + 2069319651169 = 231712^2 + 1438513^2 .

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 2123010102113 - 2⁴⁰ = 1023498474337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2123010102091 and 2123010102100.

It is not an unprimeable number, because it can be changed into a prime (2123010102119) 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, 3040445 + ... + 3672917.

It is an arithmetic number, because the mean of its divisors is an integer number (266089717725).

Almost surely, 2^{2123010102113} is an apocalyptic number.

It is an amenable number.

2123010102113 is a deficient number, since it is larger than the sum of its proper divisors (5707639687).

2123010102113 is an equidigital number, since it uses as much as digits as its factorization.

2123010102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641491.

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

Adding to 2123010102113 its reverse (3112010103212), we get a palindrome (5235020205325).

The spelling of 2123010102113 in words is "two trillion, one hundred twenty-three billion, ten million, one hundred two thousand, one hundred thirteen".