11936584829101 has 2 divisors, whose sum is σ = 11936584829102. Its totient is φ = 11936584829100.

The previous prime is 11936584829069. The next prime is 11936584829131. The reversal of 11936584829101 is 10192848563911.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6562301766601 + 5374283062500 = 2561699^2 + 2318250^2 .

It is a cyclic number.

It is not a de Polignac number, because 11936584829101 - 2⁵ = 11936584829069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11936584829131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5968292414550 + 5968292414551.

It is an arithmetic number, because the mean of its divisors is an integer number (5968292414551).

Almost surely, 2^{11936584829101} is an apocalyptic number.

It is an amenable number.

11936584829101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11936584829101 is an equidigital number, since it uses as much as digits as its factorization.

11936584829101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3732480, while the sum is 58.

The spelling of 11936584829101 in words is "eleven trillion, nine hundred thirty-six billion, five hundred eighty-four million, eight hundred twenty-nine thousand, one hundred one".