100102022067197 has 2 divisors, whose sum is σ = 100102022067198. Its totient is φ = 100102022067196.

The previous prime is 100102022067191. The next prime is 100102022067293. The reversal of 100102022067197 is 791760220201001.

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., 53714739373156 + 46387282694041 = 7329034^2 + 6810821^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102022067197 - 2²⁰ = 100102021018621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100102022067197.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102022067191) 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, 50051011033598 + 50051011033599.

It is an arithmetic number, because the mean of its divisors is an integer number (50051011033599).

Almost surely, 2^{100102022067197} is an apocalyptic number.

It is an amenable number.

100102022067197 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102022067197 is an equidigital number, since it uses as much as digits as its factorization.

100102022067197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 38.

Adding to 100102022067197 its reverse (791760220201001), we get a palindrome (891862242268198).

The spelling of 100102022067197 in words is "one hundred trillion, one hundred two billion, twenty-two million, sixty-seven thousand, one hundred ninety-seven".