101100510005 has 12 divisors (see below), whose sum is σ = 133352409036. Its totient is φ = 73527643200.

The previous prime is 101100509971. The next prime is 101100510013. The reversal of 101100510005 is 500015001101.

It can be written as a sum of positive squares in 2 ways, for example, as 61643454961 + 39457055044 = 248281^2 + 198638^2 .

It is not a de Polignac number, because 101100510005 - 2⁶ = 101100509941 is a prime.

It is a super-2 number, since 2×101100510005² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83553536 + ... + 83554745.

It is an arithmetic number, because the mean of its divisors is an integer number (11112700753).

Almost surely, 2^101100510005 is an apocalyptic number.

It is an amenable number.

101100510005 is a deficient number, since it is larger than the sum of its proper divisors (32251899031).

101100510005 is a wasteful number, since it uses less digits than its factorization.

101100510005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167108308 (or 167108297 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 101100510005 its reverse (500015001101), we get a palindrome (601115511106).

The spelling of 101100510005 in words is "one hundred one billion, one hundred million, five hundred ten thousand, five".