101061100101 has 8 divisors (see below), whose sum is σ = 145113374560. Its totient is φ = 62191446192.

The previous prime is 101061100093. The next prime is 101061100243. The reversal of 101061100101 is 101001160101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101061100101 - 2³ = 101061100093 is a prime.

It is a super-3 number, since 3×101061100101³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101061100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1295655091 + ... + 1295655168.

It is an arithmetic number, because the mean of its divisors is an integer number (18139171820).

Almost surely, 2^101061100101 is an apocalyptic number.

It is an amenable number.

101061100101 is a deficient number, since it is larger than the sum of its proper divisors (44052274459).

101061100101 is a wasteful number, since it uses less digits than its factorization.

101061100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591310275.

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

Adding to 101061100101 its reverse (101001160101), we get a palindrome (202062260202).

The spelling of 101061100101 in words is "one hundred one billion, sixty-one million, one hundred thousand, one hundred one".