100033002010001 has 16 divisors (see below), whose sum is σ = 101822033664000. Its totient is φ = 98247105457488.

The previous prime is 100033002009961. The next prime is 100033002010009. The reversal of 100033002010001 is 100010200330001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100033002010001 is a prime.

It is a super-2 number, since 2×100033002010001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100033002010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765303950 + ... + 765434648.

It is an arithmetic number, because the mean of its divisors is an integer number (6363877104000).

Almost surely, 2^{100033002010001} is an apocalyptic number.

It is an amenable number.

100033002010001 is a deficient number, since it is larger than the sum of its proper divisors (1789031653999).

100033002010001 is a wasteful number, since it uses less digits than its factorization.

100033002010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142588.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100033002010001 its reverse (100010200330001), we get a palindrome (200043202340002).

The spelling of 100033002010001 in words is "one hundred trillion, thirty-three billion, two million, ten thousand, one".