1993416101 has 2 divisors, whose sum is σ = 1993416102. Its totient is φ = 1993416100.

The previous prime is 1993416077. The next prime is 1993416121. The reversal of 1993416101 is 1016143991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1295928001 + 697488100 = 35999^2 + 26410^2 .

It is an emirp because it is prime and its reverse (1016143991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1993416101 - 2²⁶ = 1926307237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1993416121) 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, 996708050 + 996708051.

It is an arithmetic number, because the mean of its divisors is an integer number (996708051).

Almost surely, 2^1993416101 is an apocalyptic number.

It is an amenable number.

1993416101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1993416101 is an equidigital number, since it uses as much as digits as its factorization.

1993416101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 1993416101 is about 44647.6886411828. The cubic root of 1993416101 is about 1258.5369978822.

The spelling of 1993416101 in words is "one billion, nine hundred ninety-three million, four hundred sixteen thousand, one hundred one".