101321223021001 has 2 divisors, whose sum is σ = 101321223021002. Its totient is φ = 101321223021000.

The previous prime is 101321223020947. The next prime is 101321223021019. The reversal of 101321223021001 is 100120322123101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73083434743225 + 28237788277776 = 8548885^2 + 5313924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101321223021001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101321223021001.

It is not a weakly prime, because it can be changed into another prime (101321223021041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660611510500 + 50660611510501.

It is an arithmetic number, because the mean of its divisors is an integer number (50660611510501).

Almost surely, 2^{101321223021001} is an apocalyptic number.

It is an amenable number.

101321223021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321223021001 is an equidigital number, since it uses as much as digits as its factorization.

101321223021001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101321223021001 its reverse (100120322123101), we get a palindrome (201441545144102).

The spelling of 101321223021001 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty-three million, twenty-one thousand, one".