101022002221097 has 2 divisors, whose sum is σ = 101022002221098. Its totient is φ = 101022002221096.

The previous prime is 101022002221051. The next prime is 101022002221111. The reversal of 101022002221097 is 790122200220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99735295403536 + 1286706817561 = 9986756^2 + 1134331^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022002221097 - 2¹⁴ = 101022002204713 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022002221297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511001110548 + 50511001110549.

It is an arithmetic number, because the mean of its divisors is an integer number (50511001110549).

Almost surely, 2^{101022002221097} is an apocalyptic number.

It is an amenable number.

101022002221097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022002221097 is an equidigital number, since it uses as much as digits as its factorization.

101022002221097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 101022002221097 its reverse (790122200220101), we get a palindrome (891144202441198).

The spelling of 101022002221097 in words is "one hundred one trillion, twenty-two billion, two million, two hundred twenty-one thousand, ninety-seven".