101132415001 has 2 divisors, whose sum is σ = 101132415002. Its totient is φ = 101132415000.

The previous prime is 101132414987. The next prime is 101132415037. The reversal of 101132415001 is 100514231101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100521336601 + 611078400 = 317051^2 + 24720^2 .

It is a cyclic number.

It is not a de Polignac number, because 101132415001 - 2²⁷ = 100998197273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101132415001.

It is not a weakly prime, because it can be changed into another prime (101132415701) 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 as a sum of consecutive naturals, namely, 50566207500 + 50566207501.

It is an arithmetic number, because the mean of its divisors is an integer number (50566207501).

Almost surely, 2^101132415001 is an apocalyptic number.

It is an amenable number.

101132415001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101132415001 is an equidigital number, since it uses as much as digits as its factorization.

101132415001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 101132415001 its reverse (100514231101), we get a palindrome (201646646102).

The spelling of 101132415001 in words is "one hundred one billion, one hundred thirty-two million, four hundred fifteen thousand, one".