100102822252117 has 2 divisors, whose sum is σ = 100102822252118. Its totient is φ = 100102822252116.

The previous prime is 100102822252087. The next prime is 100102822252177. The reversal of 100102822252117 is 711252228201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74173278736881 + 25929543515236 = 8612391^2 + 5092106^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102822252117 - 2¹¹ = 100102822250069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102822252177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051411126058 + 50051411126059.

It is an arithmetic number, because the mean of its divisors is an integer number (50051411126059).

Almost surely, 2^{100102822252117} is an apocalyptic number.

It is an amenable number.

100102822252117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102822252117 is an equidigital number, since it uses as much as digits as its factorization.

100102822252117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8960, while the sum is 34.

The spelling of 100102822252117 in words is "one hundred trillion, one hundred two billion, eight hundred twenty-two million, two hundred fifty-two thousand, one hundred seventeen".