101322213212321 has 8 divisors (see below), whose sum is σ = 106030471041600. Its totient is φ = 96639200734032.

The previous prime is 101322213212197. The next prime is 101322213212357. The reversal of 101322213212321 is 123212312223101.

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 101322213212321 - 2¹⁴ = 101322213195937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101322213212621) 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, 6311329535 + ... + 6311345588.

It is an arithmetic number, because the mean of its divisors is an integer number (13253808880200).

Almost surely, 2^{101322213212321} is an apocalyptic number.

It is an amenable number.

101322213212321 is a deficient number, since it is larger than the sum of its proper divisors (4708257829279).

101322213212321 is a wasteful number, since it uses less digits than its factorization.

101322213212321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12622675495.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 101322213212321 its reverse (123212312223101), we get a palindrome (224534525435422).

The spelling of 101322213212321 in words is "one hundred one trillion, three hundred twenty-two billion, two hundred thirteen million, two hundred twelve thousand, three hundred twenty-one".