5101061101110 has 256 divisors, whose sum is σ = 14931644716800. Its totient is φ = 1231455633408.

The previous prime is 5101061101079. The next prime is 5101061101127. The reversal of 5101061101110 is 111011601015.

It is a happy number.

5101061101110 is a `hidden beast` number, since 51 + 0 + 1 + 0 + 611 + 0 + 1 + 1 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 689981574 + ... + 689988966.

It is an arithmetic number, because the mean of its divisors is an integer number (58326737175).

Almost surely, 2^{5101061101110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101061101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465822358400).

5101061101110 is an abundant number, since it is smaller than the sum of its proper divisors (9830583615690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5101061101110 is a wasteful number, since it uses less digits than its factorization.

5101061101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184 (or 11178 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 5101061101110 its reverse (111011601015), we get a palindrome (5212072702125).

The spelling of 5101061101110 in words is "five trillion, one hundred one billion, sixty-one million, one hundred one thousand, one hundred ten".