101065006001 has 16 divisors (see below), whose sum is σ = 108637030224. Its totient is φ = 93677635584.

The previous prime is 101065005991. The next prime is 101065006037. The reversal of 101065006001 is 100600560101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 40941475600 + 60123530401 = 202340^2 + 245201^2 .

It is not a de Polignac number, because 101065006001 - 2²² = 101060811697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101065006201) 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, 780011 + ... + 900303.

It is an arithmetic number, because the mean of its divisors is an integer number (6789814389).

Almost surely, 2^101065006001 is an apocalyptic number.

It is an amenable number.

101065006001 is a deficient number, since it is larger than the sum of its proper divisors (7572024223).

101065006001 is a wasteful number, since it uses less digits than its factorization.

101065006001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121060.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 101065006001 its reverse (100600560101), we get a palindrome (201665566102).

The spelling of 101065006001 in words is "one hundred one billion, sixty-five million, six thousand, one".