10233100133201 has 48 divisors (see below), whose sum is σ = 11659898859840. Its totient is φ = 8969907408000.

The previous prime is 10233100133177. The next prime is 10233100133239.

10233100133201 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-10233100133201 is a prime.

It is a super-2 number, since 2×10233100133201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10233100133701) 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 47 ways as a sum of consecutive naturals, for example, 77084855 + ... + 77217491.

It is an arithmetic number, because the mean of its divisors is an integer number (242914559580).

Almost surely, 2^{10233100133201} is an apocalyptic number.

10233100133201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10233100133201 is a deficient number, since it is larger than the sum of its proper divisors (1426798726639).

10233100133201 is a wasteful number, since it uses less digits than its factorization.

10233100133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132926 (or 132915 counting only the distinct ones).

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

It can be divided in two parts, 10233100 and 133201, that added together give a palindrome (10366301).

The spelling of 10233100133201 in words is "ten trillion, two hundred thirty-three billion, one hundred million, one hundred thirty-three thousand, two hundred one".