101021311220201 has 2 divisors, whose sum is σ = 101021311220202. Its totient is φ = 101021311220200.

The previous prime is 101021311220171. The next prime is 101021311220267. The reversal of 101021311220201 is 102022113120101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99115464705625 + 1905846514576 = 9955675^2 + 1380524^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021311220201 - 2³⁸ = 100746433313257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101021311220201.

It is not a weakly prime, because it can be changed into another prime (101021311220801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510655610100 + 50510655610101.

It is an arithmetic number, because the mean of its divisors is an integer number (50510655610101).

Almost surely, 2^{101021311220201} is an apocalyptic number.

It is an amenable number.

101021311220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021311220201 is an equidigital number, since it uses as much as digits as its factorization.

101021311220201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101021311220201 its reverse (102022113120101), we get a palindrome (203043424340302).

The spelling of 101021311220201 in words is "one hundred one trillion, twenty-one billion, three hundred eleven million, two hundred twenty thousand, two hundred one".