101331002120321 has 4 divisors (see below), whose sum is σ = 101331173634132. Its totient is φ = 101330830606512.

The previous prime is 101331002120261. The next prime is 101331002120357. The reversal of 101331002120321 is 123021200133101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 26844418945600 + 74486583174721 = 5181160^2 + 8630561^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331002120321 - 2³⁴ = 101313822251137 is a prime.

It is a super-2 number, since 2×101331002120321² (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 = 101331002120293 and 101331002120302.

It is not an unprimeable number, because it can be changed into a prime (101331002122321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84867626 + ... + 86053331.

It is an arithmetic number, because the mean of its divisors is an integer number (25332793408533).

Almost surely, 2^{101331002120321} is an apocalyptic number.

It is an amenable number.

101331002120321 is a deficient number, since it is larger than the sum of its proper divisors (171513811).

101331002120321 is an equidigital number, since it uses as much as digits as its factorization.

101331002120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171513810.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101331002120321 its reverse (123021200133101), we get a palindrome (224352202253422).

The spelling of 101331002120321 in words is "one hundred one trillion, three hundred thirty-one billion, two million, one hundred twenty thousand, three hundred twenty-one".