101241512001 has 12 divisors (see below), whose sum is σ = 167128845312. Its totient is φ = 57852292536.

The previous prime is 101241511993. The next prime is 101241512039. The reversal of 101241512001 is 100215142101.

It is not a de Polignac number, because 101241512001 - 2³ = 101241511993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101241512041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 803504001 + ... + 803504126.

It is an arithmetic number, because the mean of its divisors is an integer number (13927403776).

Almost surely, 2^101241512001 is an apocalyptic number.

It is an amenable number.

101241512001 is a deficient number, since it is larger than the sum of its proper divisors (65887333311).

101241512001 is a wasteful number, since it uses less digits than its factorization.

101241512001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607008140 (or 1607008137 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 101241512001 its reverse (100215142101), we get a palindrome (201456654102).

The spelling of 101241512001 in words is "one hundred one billion, two hundred forty-one million, five hundred twelve thousand, one".