101022221873 has 2 divisors, whose sum is σ = 101022221874. Its totient is φ = 101022221872.

The previous prime is 101022221857. The next prime is 101022221899. The reversal of 101022221873 is 378122220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94505211889 + 6517009984 = 307417^2 + 80728^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022221873 - 2⁴ = 101022221857 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022221813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511110936 + 50511110937.

It is an arithmetic number, because the mean of its divisors is an integer number (50511110937).

Almost surely, 2^101022221873 is an apocalyptic number.

It is an amenable number.

101022221873 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022221873 is an equidigital number, since it uses as much as digits as its factorization.

101022221873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 101022221873 its reverse (378122220101), we get a palindrome (479144441974).

The spelling of 101022221873 in words is "one hundred one billion, twenty-two million, two hundred twenty-one thousand, eight hundred seventy-three".