101565101001 has 48 divisors (see below), whose sum is σ = 167883555840. Its totient is φ = 53477910720.

The previous prime is 101565100997. The next prime is 101565101017. The reversal of 101565101001 is 100101565101.

It is a happy number.

It is not a de Polignac number, because 101565101001 - 2² = 101565100997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101565101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2001420 + ... + 2051538.

It is an arithmetic number, because the mean of its divisors is an integer number (3497574080).

Almost surely, 2^101565101001 is an apocalyptic number.

It is an amenable number.

101565101001 is a deficient number, since it is larger than the sum of its proper divisors (66318454839).

101565101001 is a wasteful number, since it uses less digits than its factorization.

101565101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50726 (or 50713 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 101565101001 its reverse (100101565101), we get a palindrome (201666666102).

It can be divided in two parts, 101565 and 101001, that added together give a triangular number (202566 = T₆₃₆).

The spelling of 101565101001 in words is "one hundred one billion, five hundred sixty-five million, one hundred one thousand, one".