1001102129 has 2 divisors, whose sum is σ = 1001102130. Its totient is φ = 1001102128.

The previous prime is 1001102087. The next prime is 1001102149. The reversal of 1001102129 is 9212011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 920515600 + 80586529 = 30340^2 + 8977^2 .

It is an emirp because it is prime and its reverse (9212011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001102129 - 2²⁰ = 1000053553 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001102149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500551064 + 500551065.

It is an arithmetic number, because the mean of its divisors is an integer number (500551065).

Almost surely, 2^1001102129 is an apocalyptic number.

It is an amenable number.

1001102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001102129 is an equidigital number, since it uses as much as digits as its factorization.

1001102129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 1001102129 is about 31640.1979924273. The cubic root of 1001102129 is about 1000.3672414505.

The spelling of 1001102129 in words is "one billion, one million, one hundred two thousand, one hundred twenty-nine".