101284129 has 2 divisors, whose sum is σ = 101284130. Its totient is φ = 101284128.

The previous prime is 101284093. The next prime is 101284159. The reversal of 101284129 is 921482101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69755904 + 31528225 = 8352^2 + 5615^2 .

It is an emirp because it is prime and its reverse (921482101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101284129 - 2¹¹ = 101282081 is a prime.

It is equal to p_5831146 and since 101284129 and 5831146 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 101284097 and 101284106.

It is not a weakly prime, because it can be changed into another prime (101284159) 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, 50642064 + 50642065.

It is an arithmetic number, because the mean of its divisors is an integer number (50642065).

Almost surely, 2^101284129 is an apocalyptic number.

It is an amenable number.

101284129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101284129 is an equidigital number, since it uses as much as digits as its factorization.

101284129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 101284129 is about 10064.0016395070. The cubic root of 101284129 is about 466.1372387697.

The spelling of 101284129 in words is "one hundred one million, two hundred eighty-four thousand, one hundred twenty-nine".