100133002120231 has 8 divisors (see below), whose sum is σ = 100155580358400. Its totient is φ = 100110424966200.

The previous prime is 100133002120169. The next prime is 100133002120247. The reversal of 100133002120231 is 132021200331001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100133002120231 - 2¹¹ = 100133002118183 is a prime.

It is a super-2 number, since 2×100133002120231² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100133002120199 and 100133002120208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133002120271) 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 7 ways as a sum of consecutive naturals, for example, 201205656 + ... + 201702706.

It is an arithmetic number, because the mean of its divisors is an integer number (12519447544800).

Almost surely, 2^{100133002120231} is an apocalyptic number.

100133002120231 is a deficient number, since it is larger than the sum of its proper divisors (22578238169).

100133002120231 is an equidigital number, since it uses as much as digits as its factorization.

100133002120231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542069.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100133002120231 its reverse (132021200331001), we get a palindrome (232154202451232).

The spelling of 100133002120231 in words is "one hundred trillion, one hundred thirty-three billion, two million, one hundred twenty thousand, two hundred thirty-one".