10405100261 has 2 divisors, whose sum is σ = 10405100262. Its totient is φ = 10405100260.

The previous prime is 10405100219. The next prime is 10405100263. The reversal of 10405100261 is 16200150401.

10405100261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8868930625 + 1536169636 = 94175^2 + 39194^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10405100261 is a prime.

It is a super-2 number, since 2×10405100261² (a number of 21 digits) contains 22 as substring.

Together with 10405100263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10405100263) 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, 5202550130 + 5202550131.

It is an arithmetic number, because the mean of its divisors is an integer number (5202550131).

Almost surely, 2^10405100261 is an apocalyptic number.

It is an amenable number.

10405100261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405100261 is an equidigital number, since it uses as much as digits as its factorization.

10405100261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10405100261 its reverse (16200150401), we get a palindrome (26605250662).

The spelling of 10405100261 in words is "ten billion, four hundred five million, one hundred thousand, two hundred sixty-one".