2110100122013 has 8 divisors (see below), whose sum is σ = 2406087017208. Its totient is φ = 1833209155584.

The previous prime is 2110100122007. The next prime is 2110100122027. The reversal of 2110100122013 is 3102210010112.

It can be written as a sum of positive squares in 4 ways, for example, as 433960785049 + 1676139336964 = 658757^2 + 1294658^2 .

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 2110100122013 - 2⁸ = 2110100121757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110100122003) 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 7 ways as a sum of consecutive naturals, for example, 4773981956 + ... + 4773982397.

It is an arithmetic number, because the mean of its divisors is an integer number (300760877151).

Almost surely, 2^{2110100122013} is an apocalyptic number.

It is an amenable number.

2110100122013 is a deficient number, since it is larger than the sum of its proper divisors (295986895195).

2110100122013 is a wasteful number, since it uses less digits than its factorization.

2110100122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9547964383.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2110100122013 its reverse (3102210010112), we get a palindrome (5212310132125).

The spelling of 2110100122013 in words is "two trillion, one hundred ten billion, one hundred million, one hundred twenty-two thousand, thirteen".