21812429520601 has 2 divisors, whose sum is σ = 21812429520602. Its totient is φ = 21812429520600.

The previous prime is 21812429520559. The next prime is 21812429520643. The reversal of 21812429520601 is 10602592421812.

It is a balanced prime because it is at equal distance from previous prime (21812429520559) and next prime (21812429520643).

It can be written as a sum of positive squares in only one way, i.e., 19148675846400 + 2663753674201 = 4375920^2 + 1632101^2 .

It is a cyclic number.

It is not a de Polignac number, because 21812429520601 - 2²⁷ = 21812295302873 is a prime.

It is a super-3 number, since 3×21812429520601³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (21812429520691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10906214760300 + 10906214760301.

It is an arithmetic number, because the mean of its divisors is an integer number (10906214760301).

Almost surely, 2^{21812429520601} is an apocalyptic number.

It is an amenable number.

21812429520601 is a deficient number, since it is larger than the sum of its proper divisors (1).

21812429520601 is an equidigital number, since it uses as much as digits as its factorization.

21812429520601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 21812429520601 in words is "twenty-one trillion, eight hundred twelve billion, four hundred twenty-nine million, five hundred twenty thousand, six hundred one".