10101101113 has 4 divisors (see below), whose sum is σ = 10137567460. Its totient is φ = 10064634768.

The previous prime is 10101101069. The next prime is 10101101137. The reversal of 10101101113 is 31110110101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31110110101 = 7 ⋅4444301443.

It can be written as a sum of positive squares in 2 ways, for example, as 4784212224 + 5316888889 = 69168^2 + 72917^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101101113 - 2²⁵ = 10067546681 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10101101113.

It is not an unprimeable number, because it can be changed into a prime (10101101183) 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, 18232758 + ... + 18233311.

It is an arithmetic number, because the mean of its divisors is an integer number (2534391865).

Almost surely, 2^10101101113 is an apocalyptic number.

It is an amenable number.

10101101113 is a deficient number, since it is larger than the sum of its proper divisors (36466347).

10101101113 is an equidigital number, since it uses as much as digits as its factorization.

10101101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36466346.

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

Adding to 10101101113 its reverse (31110110101), we get a palindrome (41211211214).

The spelling of 10101101113 in words is "ten billion, one hundred one million, one hundred one thousand, one hundred thirteen".