101022001321 has 8 divisors (see below), whose sum is σ = 105484063104. Its totient is φ = 96565756320.

The previous prime is 101022001313. The next prime is 101022001331. The reversal of 101022001321 is 123100220101.

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 101022001321 - 2³ = 101022001313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022001331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1418676 + ... + 1488181.

It is an arithmetic number, because the mean of its divisors is an integer number (13185507888).

Almost surely, 2^101022001321 is an apocalyptic number.

It is an amenable number.

101022001321 is a deficient number, since it is larger than the sum of its proper divisors (4462061783).

101022001321 is a wasteful number, since it uses less digits than its factorization.

101022001321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908391.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101022001321 its reverse (123100220101), we get a palindrome (224122221422).

The spelling of 101022001321 in words is "one hundred one billion, twenty-two million, one thousand, three hundred twenty-one".