1010101121129 has 2 divisors, whose sum is σ = 1010101121130. Its totient is φ = 1010101121128.

The previous prime is 1010101121083. The next prime is 1010101121131. The reversal of 1010101121129 is 9211211010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 942165305104 + 67935816025 = 970652^2 + 260645^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010101121129 is a prime.

Together with 1010101121131, 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 1010101121129.

It is not a weakly prime, because it can be changed into another prime (1010101121189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050560564 + 505050560565.

It is an arithmetic number, because the mean of its divisors is an integer number (505050560565).

Almost surely, 2^{1010101121129} is an apocalyptic number.

It is an amenable number.

1010101121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010101121129 is an equidigital number, since it uses as much as digits as its factorization.

1010101121129 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 20.

The spelling of 1010101121129 in words is "one trillion, ten billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-nine".