10019101 has 2 divisors, whose sum is σ = 10019102. Its totient is φ = 10019100.

The previous prime is 10019083. The next prime is 10019117. The reversal of 10019101 is 10191001.

10019101 is digitally balanced in base 3, 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., 8696601 + 1322500 = 2949^2 + 1150^2 .

It is a cyclic number.

It is not a de Polignac number, because 10019101 - 2⁷ = 10018973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10019161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5009550 + 5009551.

It is an arithmetic number, because the mean of its divisors is an integer number (5009551).

Almost surely, 2^10019101 is an apocalyptic number.

It is an amenable number.

10019101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10019101 is an equidigital number, since it uses as much as digits as its factorization.

10019101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 10019101 is about 3165.2963526343. The cubic root of 10019101 is about 215.5805546145.

The spelling of 10019101 in words is "ten million, nineteen thousand, one hundred one".