101110560601001 has 64 divisors (see below), whose sum is σ = 124376808960000. Its totient is φ = 80224269834240.

The previous prime is 101110560600961. The next prime is 101110560601013. The reversal of 101110560601001 is 100106065011101.

It is a happy number.

It is not a de Polignac number, because 101110560601001 - 2⁴² = 96712514089897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101110560621001) 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, 8167904030 + ... + 8167916408.

It is an arithmetic number, because the mean of its divisors is an integer number (1943387640000).

Almost surely, 2^{101110560601001} is an apocalyptic number.

It is an amenable number.

101110560601001 is a deficient number, since it is larger than the sum of its proper divisors (23266248358999).

101110560601001 is a wasteful number, since it uses less digits than its factorization.

101110560601001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14742.

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 101110560601001 in words is "one hundred one trillion, one hundred ten billion, five hundred sixty million, six hundred one thousand, one".