10400314101 has 16 divisors (see below), whose sum is σ = 14041844544. Its totient is φ = 6846488064.

The previous prime is 10400314081. The next prime is 10400314121. The reversal of 10400314101 is 10141300401.

It is an interprime number because it is at equal distance from previous prime (10400314081) and next prime (10400314121).

It is not a de Polignac number, because 10400314101 - 2²¹ = 10398216949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400314121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88575 + ... + 169251.

It is an arithmetic number, because the mean of its divisors is an integer number (877615284).

Almost surely, 2^10400314101 is an apocalyptic number.

It is an amenable number.

10400314101 is a deficient number, since it is larger than the sum of its proper divisors (3641530443).

10400314101 is an equidigital number, since it uses as much as digits as its factorization.

10400314101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81220.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10400314101 its reverse (10141300401), we get a palindrome (20541614502).

The spelling of 10400314101 in words is "ten billion, four hundred million, three hundred fourteen thousand, one hundred one".