10100476312441 has 2 divisors, whose sum is σ = 10100476312442. Its totient is φ = 10100476312440.

The previous prime is 10100476312343. The next prime is 10100476312453. The reversal of 10100476312441 is 14421367400101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5317769748841 + 4782706563600 = 2306029^2 + 2186940^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100476312441 - 2⁴³ = 1304383290233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100476312397 and 10100476312406.

It is not a weakly prime, because it can be changed into another prime (10100476312141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050238156220 + 5050238156221.

It is an arithmetic number, because the mean of its divisors is an integer number (5050238156221).

Almost surely, 2^{10100476312441} is an apocalyptic number.

It is an amenable number.

10100476312441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100476312441 is an equidigital number, since it uses as much as digits as its factorization.

10100476312441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 10100476312441 in words is "ten trillion, one hundred billion, four hundred seventy-six million, three hundred twelve thousand, four hundred forty-one".