2001101212321 has 2 divisors, whose sum is σ = 2001101212322. Its totient is φ = 2001101212320.

The previous prime is 2001101212309. The next prime is 2001101212367. The reversal of 2001101212321 is 1232121011002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1044443120400 + 956658091921 = 1021980^2 + 978089^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001101212321 - 2⁷ = 2001101212193 is a prime.

It is a super-3 number, since 3×2001101212321³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001101212295 and 2001101212304.

It is not a weakly prime, because it can be changed into another prime (2001101212301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000550606160 + 1000550606161.

It is an arithmetic number, because the mean of its divisors is an integer number (1000550606161).

Almost surely, 2^{2001101212321} is an apocalyptic number.

It is an amenable number.

2001101212321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001101212321 is an equidigital number, since it uses as much as digits as its factorization.

2001101212321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2001101212321 its reverse (1232121011002), we get a palindrome (3233222223323).

The spelling of 2001101212321 in words is "two trillion, one billion, one hundred one million, two hundred twelve thousand, three hundred twenty-one".