100102221121127 has 2 divisors, whose sum is σ = 100102221121128. Its totient is φ = 100102221121126.

The previous prime is 100102221121081. The next prime is 100102221121139. The reversal of 100102221121127 is 721121122201001.

It is a strong prime.

It is an emirp because it is prime and its reverse (721121122201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100102221121127 - 2¹⁰ = 100102221120103 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102221123127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051110560563 + 50051110560564.

It is an arithmetic number, because the mean of its divisors is an integer number (50051110560564).

Almost surely, 2^{100102221121127} is an apocalyptic number.

100102221121127 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102221121127 is an equidigital number, since it uses as much as digits as its factorization.

100102221121127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 100102221121127 its reverse (721121122201001), we get a palindrome (821223343322128).

The spelling of 100102221121127 in words is "one hundred trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-seven".