10100101101113 has 4 divisors (see below), whose sum is σ = 10100107756788. Its totient is φ = 10100094445440.

The previous prime is 10100101101067. The next prime is 10100101101137. The reversal of 10100101101113 is 31110110100101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 9801075864889 + 299025236224 = 3130667^2 + 546832^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100101101113 - 2²⁶ = 10100033992249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100101101094 and 10100101101103.

It is not an unprimeable number, because it can be changed into a prime (10100101101313) 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 3 ways as a sum of consecutive naturals, for example, 183245 + ... + 4498197.

It is an arithmetic number, because the mean of its divisors is an integer number (2525026939197).

Almost surely, 2^{10100101101113} is an apocalyptic number.

It is an amenable number.

10100101101113 is a deficient number, since it is larger than the sum of its proper divisors (6655675).

10100101101113 is an equidigital number, since it uses as much as digits as its factorization.

10100101101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655674.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10100101101113 its reverse (31110110100101), we get a palindrome (41210211201214).

The spelling of 10100101101113 in words is "ten trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred thirteen".