10500105561401 has 2 divisors, whose sum is σ = 10500105561402. Its totient is φ = 10500105561400.

The previous prime is 10500105561383. The next prime is 10500105561403. The reversal of 10500105561401 is 10416550100501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5646350202025 + 4853755359376 = 2376205^2 + 2203124^2 .

It is an emirp because it is prime and its reverse (10416550100501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10500105561401 - 2¹⁰ = 10500105560377 is a prime.

It is a super-2 number, since 2×10500105561401² (a number of 27 digits) contains 22 as substring.

Together with 10500105561403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10500105561403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5250052780700 + 5250052780701.

It is an arithmetic number, because the mean of its divisors is an integer number (5250052780701).

Almost surely, 2^{10500105561401} is an apocalyptic number.

It is an amenable number.

10500105561401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500105561401 is an equidigital number, since it uses as much as digits as its factorization.

10500105561401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3000, while the sum is 29.

Adding to 10500105561401 its reverse (10416550100501), we get a palindrome (20916655661902).

The spelling of 10500105561401 in words is "ten trillion, five hundred billion, one hundred five million, five hundred sixty-one thousand, four hundred one".