100102120212197 has 2 divisors, whose sum is σ = 100102120212198. Its totient is φ = 100102120212196.

The previous prime is 100102120212023. The next prime is 100102120212203. The reversal of 100102120212197 is 791212021201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70544696029921 + 29557424182276 = 8399089^2 + 5436674^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102120212197 - 2¹⁴ = 100102120195813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102123212197) 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, 50051060106098 + 50051060106099.

It is an arithmetic number, because the mean of its divisors is an integer number (50051060106099).

Almost surely, 2^{100102120212197} is an apocalyptic number.

It is an amenable number.

100102120212197 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102120212197 is an equidigital number, since it uses as much as digits as its factorization.

100102120212197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 29.

Adding to 100102120212197 its reverse (791212021201001), we get a palindrome (891314141413198).

The spelling of 100102120212197 in words is "one hundred trillion, one hundred two billion, one hundred twenty million, two hundred twelve thousand, one hundred ninety-seven".