9038772101 has 2 divisors, whose sum is σ = 9038772102. Its totient is φ = 9038772100.

The previous prime is 9038772097. The next prime is 9038772157. The reversal of 9038772101 is 1012778309.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8213071876 + 825700225 = 90626^2 + 28735^2 .

It is an emirp because it is prime and its reverse (1012778309) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9038772101 - 2² = 9038772097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9038772161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4519386050 + 4519386051.

It is an arithmetic number, because the mean of its divisors is an integer number (4519386051).

Almost surely, 2^9038772101 is an apocalyptic number.

It is an amenable number.

9038772101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9038772101 is an equidigital number, since it uses as much as digits as its factorization.

9038772101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 9038772101 is about 95072.4571103535. The cubic root of 9038772101 is about 2083.0665520845.

The spelling of 9038772101 in words is "nine billion, thirty-eight million, seven hundred seventy-two thousand, one hundred one".