10116061101 has 6 divisors (see below), whose sum is σ = 14612088270. Its totient is φ = 6744040728.

The previous prime is 10116061069. The next prime is 10116061103.

10116061101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 7547091876 + 2568969225 = 86874^2 + 50685^2 .

It is not a de Polignac number, because 10116061101 - 2⁵ = 10116061069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116061103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562003386 + ... + 562003403.

It is an arithmetic number, because the mean of its divisors is an integer number (2435348045).

Almost surely, 2^10116061101 is an apocalyptic number.

It is an amenable number.

10116061101 is a deficient number, since it is larger than the sum of its proper divisors (4496027169).

10116061101 is a wasteful number, since it uses less digits than its factorization.

10116061101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124006795 (or 1124006792 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 101160 and 61101, that added together give a palindrome (162261).

The spelling of 10116061101 in words is "ten billion, one hundred sixteen million, sixty-one thousand, one hundred one".