40100000201 has 2 divisors, whose sum is σ = 40100000202. Its totient is φ = 40100000200.

The previous prime is 40100000189. The next prime is 40100000203. The reversal of 40100000201 is 10200000104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24927673225 + 15172326976 = 157885^2 + 123176^2 .

It is a cyclic number.

It is not a de Polignac number, because 40100000201 - 2¹⁴ = 40099983817 is a prime.

It is a super-2 number, since 2×40100000201² (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 40100000203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40100000203) 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, 20050000100 + 20050000101.

It is an arithmetic number, because the mean of its divisors is an integer number (20050000101).

Almost surely, 2^40100000201 is an apocalyptic number.

It is an amenable number.

40100000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

40100000201 is an equidigital number, since it uses as much as digits as its factorization.

40100000201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 40100000201 its reverse (10200000104), we get a palindrome (50300000305).

The spelling of 40100000201 in words is "forty billion, one hundred million, two hundred one", and thus it is an aban number.