101013322721 has 2 divisors, whose sum is σ = 101013322722. Its totient is φ = 101013322720.

The previous prime is 101013322681. The next prime is 101013322727. The reversal of 101013322721 is 127223310101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101006374225 + 6948496 = 317815^2 + 2636^2 .

It is an emirp because it is prime and its reverse (127223310101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101013322721 - 2¹⁰ = 101013321697 is a prime.

It is not a weakly prime, because it can be changed into another prime (101013322727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506661360 + 50506661361.

It is an arithmetic number, because the mean of its divisors is an integer number (50506661361).

Almost surely, 2^101013322721 is an apocalyptic number.

It is an amenable number.

101013322721 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013322721 is an equidigital number, since it uses as much as digits as its factorization.

101013322721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 101013322721 its reverse (127223310101), we get a palindrome (228236632822).

The spelling of 101013322721 in words is "one hundred one billion, thirteen million, three hundred twenty-two thousand, seven hundred twenty-one".