101330121210221 has 8 divisors (see below), whose sum is σ = 103801789748664. Its totient is φ = 98858462298880.

The previous prime is 101330121210191. The next prime is 101330121210223. The reversal of 101330121210221 is 122012121033101.

It can be written as a sum of positive squares in 4 ways, for example, as 574980975625 + 100755140234596 = 758275^2 + 10037686^2 .

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 101330121210221 - 2³⁸ = 101055243303277 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101330121210193 and 101330121210202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330121210223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21845555 + ... + 26074671.

It is an arithmetic number, because the mean of its divisors is an integer number (12975223718583).

Almost surely, 2^{101330121210221} is an apocalyptic number.

It is an amenable number.

101330121210221 is a deficient number, since it is larger than the sum of its proper divisors (2471668538443).

101330121210221 is an equidigital number, since it uses as much as digits as its factorization.

101330121210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813551.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101330121210221 its reverse (122012121033101), we get a palindrome (223342242243322).

The spelling of 101330121210221 in words is "one hundred one trillion, three hundred thirty billion, one hundred twenty-one million, two hundred ten thousand, two hundred twenty-one".