101345200001 has 16 divisors (see below), whose sum is σ = 111989336400. Its totient is φ = 91279577088.

The previous prime is 101345199947. The next prime is 101345200009. The reversal of 101345200001 is 100002543101.

It can be written as a sum of positive squares in 8 ways, for example, as 1606085776 + 99739114225 = 40076^2 + 315815^2 .

It is a cyclic number.

It is not a de Polignac number, because 101345200001 - 2⁶ = 101345199937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101345200009) 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, 853886 + ... + 965303.

It is an arithmetic number, because the mean of its divisors is an integer number (6999333525).

Almost surely, 2^101345200001 is an apocalyptic number.

It is an amenable number.

101345200001 is a deficient number, since it is larger than the sum of its proper divisors (10644136399).

101345200001 is a wasteful number, since it uses less digits than its factorization.

101345200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819348.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 101345200001 its reverse (100002543101), we get a palindrome (201347743102).

The spelling of 101345200001 in words is "one hundred one billion, three hundred forty-five million, two hundred thousand, one".