29122382003101 has 2 divisors, whose sum is σ = 29122382003102. Its totient is φ = 29122382003100.

The previous prime is 29122382003087. The next prime is 29122382003129. The reversal of 29122382003101 is 10130028322192.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15448279984900 + 13674102018201 = 3930430^2 + 3697851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-29122382003101 is a prime.

It is a super-2 number, since 2×29122382003101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29122382003191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14561191001550 + 14561191001551.

It is an arithmetic number, because the mean of its divisors is an integer number (14561191001551).

Almost surely, 2^{29122382003101} is an apocalyptic number.

It is an amenable number.

29122382003101 is a deficient number, since it is larger than the sum of its proper divisors (1).

29122382003101 is an equidigital number, since it uses as much as digits as its factorization.

29122382003101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 29122382003101 in words is "twenty-nine trillion, one hundred twenty-two billion, three hundred eighty-two million, three thousand, one hundred one".