100107145014801 has 32 divisors (see below), whose sum is σ = 135139176402048. Its totient is φ = 65909656074240.

The previous prime is 100107145014761. The next prime is 100107145014823. The reversal of 100107145014801 is 108410541701001.

It is not a de Polignac number, because 100107145014801 - 2⁷ = 100107145014673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100107145014601) 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 31 ways as a sum of consecutive naturals, for example, 314719626 + ... + 315037548.

It is an arithmetic number, because the mean of its divisors is an integer number (4223099262564).

Almost surely, 2^{100107145014801} is an apocalyptic number.

It is an amenable number.

100107145014801 is a deficient number, since it is larger than the sum of its proper divisors (35032031387247).

100107145014801 is a wasteful number, since it uses less digits than its factorization.

100107145014801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320321.

The product of its (nonzero) digits is 4480, while the sum is 33.

Adding to 100107145014801 its reverse (108410541701001), we get a palindrome (208517686715802).

The spelling of 100107145014801 in words is "one hundred trillion, one hundred seven billion, one hundred forty-five million, fourteen thousand, eight hundred one".