400107101 has 2 divisors, whose sum is σ = 400107102. Its totient is φ = 400107100.

The previous prime is 400107091. The next prime is 400107107. The reversal of 400107101 is 101701004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 321341476 + 78765625 = 17926^2 + 8875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400107101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400107107) 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, 200053550 + 200053551.

It is an arithmetic number, because the mean of its divisors is an integer number (200053551).

Almost surely, 2^400107101 is an apocalyptic number.

It is an amenable number.

400107101 is a deficient number, since it is larger than the sum of its proper divisors (1).

400107101 is an equidigital number, since it uses as much as digits as its factorization.

400107101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 400107101 is about 20002.6773457955. The cubic root of 400107101 is about 736.8720544360.

Adding to 400107101 its reverse (101701004), we get a palindrome (501808105).

The spelling of 400107101 in words is "four hundred million, one hundred seven thousand, one hundred one".