101123129 has 2 divisors, whose sum is σ = 101123130. Its totient is φ = 101123128.

The previous prime is 101123117. The next prime is 101123137. The reversal of 101123129 is 921321101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98803600 + 2319529 = 9940^2 + 1523^2 .

It is a cyclic number.

It is not a de Polignac number, because 101123129 - 2¹² = 101119033 is a prime.

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 101123129.

It is not a weakly prime, because it can be changed into another prime (101123159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561564 + 50561565.

It is an arithmetic number, because the mean of its divisors is an integer number (50561565).

Almost surely, 2^101123129 is an apocalyptic number.

It is an amenable number.

101123129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123129 is an equidigital number, since it uses as much as digits as its factorization.

101123129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 101123129 is about 10055.9996519491. Note that the first 3 decimals coincide. The cubic root of 101123129 is about 465.8901191189.

The spelling of 101123129 in words is "one hundred one million, one hundred twenty-three thousand, one hundred twenty-nine".