100001106506511 has 24 divisors (see below), whose sum is σ = 166715658948384. Its totient is φ = 56577712305600.

The previous prime is 100001106506503. The next prime is 100001106506513. The reversal of 100001106506511 is 115605601100001.

100001106506511 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 1 + 1 + 0 + 6 + 5 + 0 + 651 + 1 = 666.

It is not a de Polignac number, because 100001106506511 - 2³ = 100001106506503 is a prime.

It is a super-3 number, since 3×100001106506511³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001106506513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7858009236 + ... + 7858021961.

It is an arithmetic number, because the mean of its divisors is an integer number (6946485789516).

Almost surely, 2^{100001106506511} is an apocalyptic number.

100001106506511 is a deficient number, since it is larger than the sum of its proper divisors (66714552441873).

100001106506511 is a wasteful number, since it uses less digits than its factorization.

100001106506511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15716031311 (or 15716031308 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 100001106506511 its reverse (115605601100001), we get a palindrome (215606707606512).

The spelling of 100001106506511 in words is "one hundred trillion, one billion, one hundred six million, five hundred six thousand, five hundred eleven".