101320122333321 has 24 divisors (see below), whose sum is σ = 147334826925000. Its totient is φ = 67092815192832.

The previous prime is 101320122333277. The next prime is 101320122333323. The reversal of 101320122333321 is 123333221023101.

101320122333321 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 0 + 1 + 2 + 2 + 333 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40225263990921 + 61094858342400 = 6342339^2 + 7816320^2 .

It is not a de Polignac number, because 101320122333321 - 2¹⁴ = 101320122316937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101320122333323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189845755 + ... + 190378703.

It is an arithmetic number, because the mean of its divisors is an integer number (6138951121875).

Almost surely, 2^{101320122333321} is an apocalyptic number.

It is an amenable number.

101320122333321 is a deficient number, since it is larger than the sum of its proper divisors (46014704591679).

101320122333321 is a wasteful number, since it uses less digits than its factorization.

101320122333321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674873 (or 674870 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101320122333321 its reverse (123333221023101), we get a palindrome (224653343356422).

The spelling of 101320122333321 in words is "one hundred one trillion, three hundred twenty billion, one hundred twenty-two million, three hundred thirty-three thousand, three hundred twenty-one".