101071101120601 has 4 divisors (see below), whose sum is σ = 104556311504100. Its totient is φ = 97585890737104.

The previous prime is 101071101120589. The next prime is 101071101120623. The reversal of 101071101120601 is 106021101170101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 43940193987600 + 57130907133001 = 6628740^2 + 7558499^2 .

It is a cyclic number.

It is not a de Polignac number, because 101071101120601 - 2⁴³ = 92275008098393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101071101100601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1742605191706 + ... + 1742605191763.

It is an arithmetic number, because the mean of its divisors is an integer number (26139077876025).

Almost surely, 2^{101071101120601} is an apocalyptic number.

It is an amenable number.

101071101120601 is a deficient number, since it is larger than the sum of its proper divisors (3485210383499).

101071101120601 is an equidigital number, since it uses as much as digits as its factorization.

101071101120601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485210383498.

The product of its (nonzero) digits is 84, while the sum is 22.

Adding to 101071101120601 its reverse (106021101170101), we get a palindrome (207092202290702).

The spelling of 101071101120601 in words is "one hundred one trillion, seventy-one billion, one hundred one million, one hundred twenty thousand, six hundred one".