100102010020193 has 2 divisors, whose sum is σ = 100102010020194. Its totient is φ = 100102010020192.

The previous prime is 100102010020153. The next prime is 100102010020223. The reversal of 100102010020193 is 391020010201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91893830860129 + 8208179160064 = 9586127^2 + 2864992^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102010020193 - 2²⁶ = 100101942911329 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102010020153) 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, 50051005010096 + 50051005010097.

It is an arithmetic number, because the mean of its divisors is an integer number (50051005010097).

Almost surely, 2^{100102010020193} is an apocalyptic number.

It is an amenable number.

100102010020193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102010020193 is an equidigital number, since it uses as much as digits as its factorization.

100102010020193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 100102010020193 its reverse (391020010201001), we get a palindrome (491122020221194).

The spelling of 100102010020193 in words is "one hundred trillion, one hundred two billion, ten million, twenty thousand, one hundred ninety-three".