100610501060511 has 16 divisors (see below), whose sum is σ = 160518178330720. Its totient is φ = 61914154498560.

The previous prime is 100610501060497. The next prime is 100610501060527. The reversal of 100610501060511 is 115060105016001.

100610501060511 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 0 + 50 + 1 + 0 + 605 + 1 + 1 = 666.

It is not a de Polignac number, because 100610501060511 - 2¹⁴ = 100610501044127 is a prime.

It is a super-2 number, since 2×100610501060511² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100610501065511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143319801730 + ... + 143319802431.

It is an arithmetic number, because the mean of its divisors is an integer number (10032386145670).

Almost surely, 2^{100610501060511} is an apocalyptic number.

100610501060511 is a deficient number, since it is larger than the sum of its proper divisors (59907677270209).

100610501060511 is a wasteful number, since it uses less digits than its factorization.

100610501060511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286639604183 (or 286639604177 counting only the distinct ones).

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

Adding to 100610501060511 its reverse (115060105016001), we get a palindrome (215670606076512).

The spelling of 100610501060511 in words is "one hundred trillion, six hundred ten billion, five hundred one million, sixty thousand, five hundred eleven".