1012111322129 has 2 divisors, whose sum is σ = 1012111322130. Its totient is φ = 1012111322128.

The previous prime is 1012111322111. The next prime is 1012111322141. The reversal of 1012111322129 is 9212231112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 911305072129 + 100806250000 = 954623^2 + 317500^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012111322129 - 2⁸ = 1012111321873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012111322098 and 1012111322107.

It is not a weakly prime, because it can be changed into another prime (1012111322029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506055661064 + 506055661065.

It is an arithmetic number, because the mean of its divisors is an integer number (506055661065).

Almost surely, 2^{1012111322129} is an apocalyptic number.

It is an amenable number.

1012111322129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012111322129 is an equidigital number, since it uses as much as digits as its factorization.

1012111322129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 1012111322129 in words is "one trillion, twelve billion, one hundred eleven million, three hundred twenty-two thousand, one hundred twenty-nine".