101100511001105 has 32 divisors (see below), whose sum is σ = 151258449973248. Its totient is φ = 63023036184000.

The previous prime is 101100511001099. The next prime is 101100511001209. The reversal of 101100511001105 is 501100115001101.

It is not a de Polignac number, because 101100511001105 - 2²⁴ = 101100494223889 is a prime.

It is a super-2 number, since 2×101100511001105² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36877580 + ... + 39524130.

It is an arithmetic number, because the mean of its divisors is an integer number (4726826561664).

Almost surely, 2^{101100511001105} is an apocalyptic number.

It is an amenable number.

101100511001105 is a deficient number, since it is larger than the sum of its proper divisors (50157938972143).

101100511001105 is a wasteful number, since it uses less digits than its factorization.

101100511001105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745797.

The product of its (nonzero) digits is 25, while the sum is 17.

Adding to 101100511001105 its reverse (501100115001101), we get a palindrome (602200626002206).

The spelling of 101100511001105 in words is "one hundred one trillion, one hundred billion, five hundred eleven million, one thousand, one hundred five".