1031012212129 has 2 divisors, whose sum is σ = 1031012212130. Its totient is φ = 1031012212128.

The previous prime is 1031012212093. The next prime is 1031012212147. The reversal of 1031012212129 is 9212122101301.

1031012212129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 980789161104 + 50223051025 = 990348^2 + 224105^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031012212129 - 2⁹ = 1031012211617 is a prime.

It is not a weakly prime, because it can be changed into another prime (1031012212159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515506106064 + 515506106065.

It is an arithmetic number, because the mean of its divisors is an integer number (515506106065).

Almost surely, 2^{1031012212129} is an apocalyptic number.

It is an amenable number.

1031012212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031012212129 is an equidigital number, since it uses as much as digits as its factorization.

1031012212129 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 25.

The spelling of 1031012212129 in words is "one trillion, thirty-one billion, twelve million, two hundred twelve thousand, one hundred twenty-nine".