101411129 has 2 divisors, whose sum is σ = 101411130. Its totient is φ = 101411128.

The previous prime is 101411119. The next prime is 101411131. The reversal of 101411129 is 921114101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55875625 + 45535504 = 7475^2 + 6748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101411129 is a prime.

Together with 101411131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101411129.

It is not a weakly prime, because it can be changed into another prime (101411119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50705564 + 50705565.

It is an arithmetic number, because the mean of its divisors is an integer number (50705565).

Almost surely, 2^101411129 is an apocalyptic number.

It is an amenable number.

101411129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101411129 is an equidigital number, since it uses as much as digits as its factorization.

101411129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 101411129 is about 10070.3092802555. The cubic root of 101411129 is about 466.3319869623.

The spelling of 101411129 in words is "one hundred one million, four hundred eleven thousand, one hundred twenty-nine".