101011000001321 has 2 divisors, whose sum is σ = 101011000001322. Its totient is φ = 101011000001320.

The previous prime is 101011000001281. The next prime is 101011000001323. The reversal of 101011000001321 is 123100000110101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99140574508096 + 1870425493225 = 9956936^2 + 1367635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011000001321 is a prime.

Together with 101011000001323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101011000001323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500000660 + 50505500000661.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500000661).

Almost surely, 2^{101011000001321} is an apocalyptic number.

It is an amenable number.

101011000001321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011000001321 is an equidigital number, since it uses as much as digits as its factorization.

101011000001321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101011000001321 its reverse (123100000110101), we get a palindrome (224111000111422).

The spelling of 101011000001321 in words is "one hundred one trillion, eleven billion, one thousand, three hundred twenty-one".