10119192101 has 2 divisors, whose sum is σ = 10119192102. Its totient is φ = 10119192100.

The previous prime is 10119191981. The next prime is 10119192103. The reversal of 10119192101 is 10129191101.

10119192101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5194661476 + 4924530625 = 72074^2 + 70175^2 .

It is a cyclic number.

It is not a de Polignac number, because 10119192101 - 2¹⁰ = 10119191077 is a prime.

Together with 10119192103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10119192103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5059596050 + 5059596051.

It is an arithmetic number, because the mean of its divisors is an integer number (5059596051).

Almost surely, 2^10119192101 is an apocalyptic number.

It is an amenable number.

10119192101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10119192101 is an equidigital number, since it uses as much as digits as its factorization.

10119192101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 26.

The spelling of 10119192101 in words is "ten billion, one hundred nineteen million, one hundred ninety-two thousand, one hundred one".