100103303301001 has 96 divisors (see below), whose sum is σ = 145239800267520. Its totient is φ = 66925736317440.

The previous prime is 100103303300993. The next prime is 100103303301119.

100103303301001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100103303301001 - 2³ = 100103303300993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100103303304001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6574071 + ... + 15602083.

It is an arithmetic number, because the mean of its divisors is an integer number (1512914586120).

Almost surely, 2^{100103303301001} is an apocalyptic number.

100103303301001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100103303301001 is a deficient number, since it is larger than the sum of its proper divisors (45136496966519).

100103303301001 is a wasteful number, since it uses less digits than its factorization.

100103303301001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028127 (or 9028116 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 10010330 and 3301001, that added together give a palindrome (13311331).

The spelling of 100103303301001 in words is "one hundred trillion, one hundred three billion, three hundred three million, three hundred one thousand, one".