101110001129 has 2 divisors, whose sum is σ = 101110001130. Its totient is φ = 101110001128.

The previous prime is 101110001117. The next prime is 101110001141. The reversal of 101110001129 is 921100011101.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (101110001117) and next prime (101110001141).

It can be written as a sum of positive squares in only one way, i.e., 100076057104 + 1033944025 = 316348^2 + 32155^2 .

It is an emirp because it is prime and its reverse (921100011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110001129 - 2¹² = 101109997033 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110004129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555000564 + 50555000565.

It is an arithmetic number, because the mean of its divisors is an integer number (50555000565).

Almost surely, 2^101110001129 is an apocalyptic number.

It is an amenable number.

101110001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110001129 is an equidigital number, since it uses as much as digits as its factorization.

101110001129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 101110001129 in words is "one hundred one billion, one hundred ten million, one thousand, one hundred twenty-nine".