10212112121129 has 2 divisors, whose sum is σ = 10212112121130. Its totient is φ = 10212112121128.

The previous prime is 10212112121089. The next prime is 10212112121221. The reversal of 10212112121129 is 92112121121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5386832112025 + 4825280009104 = 2320955^2 + 2196652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10212112121129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10212112121098 and 10212112121107.

It is not a weakly prime, because it can be changed into another prime (10212112121329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106056060564 + 5106056060565.

It is an arithmetic number, because the mean of its divisors is an integer number (5106056060565).

Almost surely, 2^{10212112121129} is an apocalyptic number.

It is an amenable number.

10212112121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212112121129 is an equidigital number, since it uses as much as digits as its factorization.

10212112121129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 10212112121129 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-nine".