110006110010601 has 64 divisors (see below), whose sum is σ = 194371998412800. Its totient is φ = 60121289467008.

The previous prime is 110006110010567. The next prime is 110006110010609. The reversal of 110006110010601 is 106010011600011.

110006110010601 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 61 + 1 + 0 + 0 + 1 + 0 + 601 = 666.

It is not a de Polignac number, because 110006110010601 - 2²⁵ = 110006076456169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110006110010609) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40498365 + ... + 43129221.

It is an arithmetic number, because the mean of its divisors is an integer number (3037062475200).

Almost surely, 2^{110006110010601} is an apocalyptic number.

It is an amenable number.

110006110010601 is a deficient number, since it is larger than the sum of its proper divisors (84365888402199).

110006110010601 is a wasteful number, since it uses less digits than its factorization.

110006110010601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640515 (or 2640509 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 110006110010601 its reverse (106010011600011), we get a palindrome (216016121610612).

The spelling of 110006110010601 in words is "one hundred ten trillion, six billion, one hundred ten million, ten thousand, six hundred one".