21131692872601 has 2 divisors, whose sum is σ = 21131692872602. Its totient is φ = 21131692872600.

The previous prime is 21131692872593. The next prime is 21131692872671. The reversal of 21131692872601 is 10627829613112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10787782594576 + 10343910278025 = 3284476^2 + 3216195^2 .

It is a cyclic number.

It is not a de Polignac number, because 21131692872601 - 2³ = 21131692872593 is a prime.

It is not a weakly prime, because it can be changed into another prime (21131692872671) 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, 10565846436300 + 10565846436301.

It is an arithmetic number, because the mean of its divisors is an integer number (10565846436301).

Almost surely, 2^{21131692872601} is an apocalyptic number.

It is an amenable number.

21131692872601 is a deficient number, since it is larger than the sum of its proper divisors (1).

21131692872601 is an equidigital number, since it uses as much as digits as its factorization.

21131692872601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 21131692872601 in words is "twenty-one trillion, one hundred thirty-one billion, six hundred ninety-two million, eight hundred seventy-two thousand, six hundred one".