2002321101001 has 8 divisors (see below), whose sum is σ = 2160331660424. Its totient is φ = 1844879950080.

The previous prime is 2002321100917. The next prime is 2002321101007. The reversal of 2002321101001 is 1001011232002.

It can be written as a sum of positive squares in 4 ways, for example, as 256870566976 + 1745450534025 = 506824^2 + 1321155^2 .

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 2002321101001 - 2¹³ = 2002321092809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002321101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142344816 + ... + 142358881.

It is an arithmetic number, because the mean of its divisors is an integer number (270041457553).

Almost surely, 2^{2002321101001} is an apocalyptic number.

It is an amenable number.

2002321101001 is a deficient number, since it is larger than the sum of its proper divisors (158010559423).

2002321101001 is a wasteful number, since it uses less digits than its factorization.

2002321101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284704251.

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

Adding to 2002321101001 its reverse (1001011232002), we get a palindrome (3003332333003).

The spelling of 2002321101001 in words is "two trillion, two billion, three hundred twenty-one million, one hundred one thousand, one".