100201213013033 has 32 divisors (see below), whose sum is σ = 109661695395840. Its totient is φ = 90799877468160.

The previous prime is 100201213013009. The next prime is 100201213013071. The reversal of 100201213013033 is 330310312102001.

It is a cyclic number.

It is not a de Polignac number, because 100201213013033 - 2²⁰ = 100201211964457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100201213012996 and 100201213013014.

It is not an unprimeable number, because it can be changed into a prime (100201213013093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14913110648 + ... + 14913117366.

It is an arithmetic number, because the mean of its divisors is an integer number (3426927981120).

Almost surely, 2^{100201213013033} is an apocalyptic number.

It is an amenable number.

100201213013033 is a deficient number, since it is larger than the sum of its proper divisors (9460482382807).

100201213013033 is a wasteful number, since it uses less digits than its factorization.

100201213013033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10577.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100201213013033 its reverse (330310312102001), we get a palindrome (430511525115034).

The spelling of 100201213013033 in words is "one hundred trillion, two hundred one billion, two hundred thirteen million, thirteen thousand, thirty-three".