100061101101 has 16 divisors (see below), whose sum is σ = 147181809600. Its totient is φ = 60074206080.

The previous prime is 100061101099. The next prime is 100061101163. The reversal of 100061101101 is 101101160001.

It is not a de Polignac number, because 100061101101 - 2¹ = 100061101099 is a prime.

It is a super-3 number, since 3×100061101101³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100061101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31287051 + ... + 31290248.

It is an arithmetic number, because the mean of its divisors is an integer number (9198863100).

Almost surely, 2^100061101101 is an apocalyptic number.

It is an amenable number.

100061101101 is a deficient number, since it is larger than the sum of its proper divisors (47120708499).

100061101101 is a wasteful number, since it uses less digits than its factorization.

100061101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62577356.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100061101101 its reverse (101101160001), we get a palindrome (201162261102).

The spelling of 100061101101 in words is "one hundred billion, sixty-one million, one hundred one thousand, one hundred one".