2010000102113 has 2 divisors, whose sum is σ = 2010000102114. Its totient is φ = 2010000102112.

The previous prime is 2010000102107. The next prime is 2010000102127. The reversal of 2010000102113 is 3112010000102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1702482163264 + 307517938849 = 1304792^2 + 554543^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010000102113 - 2⁶ = 2010000102049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010000102094 and 2010000102103.

It is not a weakly prime, because it can be changed into another prime (2010000102013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005000051056 + 1005000051057.

It is an arithmetic number, because the mean of its divisors is an integer number (1005000051057).

Almost surely, 2^{2010000102113} is an apocalyptic number.

It is an amenable number.

2010000102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010000102113 is an equidigital number, since it uses as much as digits as its factorization.

2010000102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2010000102113 its reverse (3112010000102), we get a palindrome (5122010102215).

The spelling of 2010000102113 in words is "two trillion, ten billion, one hundred two thousand, one hundred thirteen".