101333121033221 has 32 divisors (see below), whose sum is σ = 128919751680000. Its totient is φ = 78958399166640.

The previous prime is 101333121033197. The next prime is 101333121033271. The reversal of 101333121033221 is 122330121333101.

It is a de Polignac number, because none of the positive numbers 2^k-101333121033221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333121033271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124946180 + ... + 125754578.

It is an arithmetic number, because the mean of its divisors is an integer number (4028742240000).

Almost surely, 2^{101333121033221} is an apocalyptic number.

101333121033221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101333121033221 is a deficient number, since it is larger than the sum of its proper divisors (27586630646779).

101333121033221 is an equidigital number, since it uses as much as digits as its factorization.

101333121033221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841654 (or 841640 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 101333121033221 its reverse (122330121333101), we get a palindrome (223663242366322).

The spelling of 101333121033221 in words is "one hundred one trillion, three hundred thirty-three billion, one hundred twenty-one million, thirty-three thousand, two hundred twenty-one".