10412314113101 has 2 divisors, whose sum is σ = 10412314113102. Its totient is φ = 10412314113100.

The previous prime is 10412314113031. The next prime is 10412314113127. The reversal of 10412314113101 is 10131141321401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6078068959876 + 4334245153225 = 2465374^2 + 2081885^2 .

It is a cyclic number.

It is not a de Polignac number, because 10412314113101 - 2¹⁸ = 10412313850957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10412314113161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5206157056550 + 5206157056551.

It is an arithmetic number, because the mean of its divisors is an integer number (5206157056551).

Almost surely, 2^{10412314113101} is an apocalyptic number.

It is an amenable number.

10412314113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10412314113101 is an equidigital number, since it uses as much as digits as its factorization.

10412314113101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 10412314113101 its reverse (10131141321401), we get a palindrome (20543455434502).

The spelling of 10412314113101 in words is "ten trillion, four hundred twelve billion, three hundred fourteen million, one hundred thirteen thousand, one hundred one".