101020222110001 has 2 divisors, whose sum is σ = 101020222110002. Its totient is φ = 101020222110000.

The previous prime is 101020222109999. The next prime is 101020222110043. The reversal of 101020222110001 is 100011222020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78348149399601 + 22672072710400 = 8851449^2 + 4761520^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020222110001 - 2¹ = 101020222109999 is a prime.

Together with 101020222109999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101020222110601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510111055000 + 50510111055001.

It is an arithmetic number, because the mean of its divisors is an integer number (50510111055001).

Almost surely, 2^{101020222110001} is an apocalyptic number.

It is an amenable number.

101020222110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020222110001 is an equidigital number, since it uses as much as digits as its factorization.

101020222110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101020222110001 its reverse (100011222020101), we get a palindrome (201031444130102).

The spelling of 101020222110001 in words is "one hundred one trillion, twenty billion, two hundred twenty-two million, one hundred ten thousand, one".