101010000110113 has 2 divisors, whose sum is σ = 101010000110114. Its totient is φ = 101010000110112.

The previous prime is 101010000110101. The next prime is 101010000110143. The reversal of 101010000110113 is 311011000010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98807337475344 + 2202662634769 = 9940188^2 + 1484137^2 .

It is an emirp because it is prime and its reverse (311011000010101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010000110113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101010000110113.

It is not a weakly prime, because it can be changed into another prime (101010000110143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000055056 + 50505000055057.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000055057).

Almost surely, 2^{101010000110113} is an apocalyptic number.

It is an amenable number.

101010000110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000110113 is an equidigital number, since it uses as much as digits as its factorization.

101010000110113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101010000110113 its reverse (311011000010101), we get a palindrome (412021000120214).

The spelling of 101010000110113 in words is "one hundred one trillion, ten billion, one hundred ten thousand, one hundred thirteen".