10101101010113 has 4 divisors (see below), whose sum is σ = 10130043993300. Its totient is φ = 10072158026928.

The previous prime is 10101101010109. The next prime is 10101101010151. The reversal of 10101101010113 is 31101010110101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7458759731329 + 2642341278784 = 2731073^2 + 1625528^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101101010113 - 2² = 10101101010109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10101101010094 and 10101101010103.

It is not an unprimeable number, because it can be changed into a prime (10101101010313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14471491070 + ... + 14471491767.

It is an arithmetic number, because the mean of its divisors is an integer number (2532510998325).

Almost surely, 2^{10101101010113} is an apocalyptic number.

It is an amenable number.

10101101010113 is a deficient number, since it is larger than the sum of its proper divisors (28942983187).

10101101010113 is an equidigital number, since it uses as much as digits as its factorization.

10101101010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28942983186.

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

Adding to 10101101010113 its reverse (31101010110101), we get a palindrome (41202111120214).

The spelling of 10101101010113 in words is "ten trillion, one hundred one billion, one hundred one million, ten thousand, one hundred thirteen".