101422129 has 2 divisors, whose sum is σ = 101422130. Its totient is φ = 101422128.

The previous prime is 101422127. The next prime is 101422147. The reversal of 101422129 is 921224101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61074225 + 40347904 = 7815^2 + 6352^2 .

It is a cyclic number.

It is not a de Polignac number, because 101422129 - 2¹ = 101422127 is a prime.

Together with 101422127, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101422127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50711064 + 50711065.

It is an arithmetic number, because the mean of its divisors is an integer number (50711065).

Almost surely, 2^101422129 is an apocalyptic number.

It is an amenable number.

101422129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101422129 is an equidigital number, since it uses as much as digits as its factorization.

101422129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 101422129 is about 10070.8554254343. The cubic root of 101422129 is about 466.3488472630.

The spelling of 101422129 in words is "one hundred one million, four hundred twenty-two thousand, one hundred twenty-nine".