11405406101 has 2 divisors, whose sum is σ = 11405406102. Its totient is φ = 11405406100.

The previous prime is 11405406079. The next prime is 11405406109. The reversal of 11405406101 is 10160450411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10645080625 + 760325476 = 103175^2 + 27574^2 .

It is a cyclic number.

It is not a de Polignac number, because 11405406101 - 2²² = 11401211797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11405406109) 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 as a sum of consecutive naturals, namely, 5702703050 + 5702703051.

It is an arithmetic number, because the mean of its divisors is an integer number (5702703051).

Almost surely, 2^11405406101 is an apocalyptic number.

It is an amenable number.

11405406101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11405406101 is an equidigital number, since it uses as much as digits as its factorization.

11405406101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 11405406101 its reverse (10160450411), we get a palindrome (21565856512).

The spelling of 11405406101 in words is "eleven billion, four hundred five million, four hundred six thousand, one hundred one".