101129 has 4 divisors (see below), whose sum is σ = 115584. Its totient is φ = 86676.

The previous prime is 101119. The next prime is 101141. The reversal of 101129 is 921101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 921101 = 19 ⋅48479.

It is a cyclic number.

It is not a de Polignac number, because 101129 - 2⁴ = 101113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7217 + ... + 7230.

It is an arithmetic number, because the mean of its divisors is an integer number (28896).

2¹⁰¹¹²⁹ is an apocalyptic number.

It is an amenable number.

101129 is a deficient number, since it is larger than the sum of its proper divisors (14455).

101129 is an equidigital number, since it uses as much as digits as its factorization.

101129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14454.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 101129 is about 318.0078615380. The cubic root of 101129 is about 46.5899135150.

The spelling of 101129 in words is "one hundred one thousand, one hundred twenty-nine".