101322311101001 has 4 divisors (see below), whose sum is σ = 101332575755904. Its totient is φ = 101312046446100.

The previous prime is 101322311100977. The next prime is 101322311101021. The reversal of 101322311101001 is 100101113223101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101322311101001 - 2⁶ = 101322311100937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101322311101021) 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, 5132312645 + ... + 5132332386.

It is an arithmetic number, because the mean of its divisors is an integer number (25333143938976).

Almost surely, 2^{101322311101001} is an apocalyptic number.

It is an amenable number.

101322311101001 is a deficient number, since it is larger than the sum of its proper divisors (10264654903).

101322311101001 is an equidigital number, since it uses as much as digits as its factorization.

101322311101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10264654902.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101322311101001 its reverse (100101113223101), we get a palindrome (201423424324102).

The spelling of 101322311101001 in words is "one hundred one trillion, three hundred twenty-two billion, three hundred eleven million, one hundred one thousand, one".