10121202202129 has 2 divisors, whose sum is σ = 10121202202130. Its totient is φ = 10121202202128.

The previous prime is 10121202202037. The next prime is 10121202202207. The reversal of 10121202202129 is 92120220212101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6650518899600 + 3470683302529 = 2578860^2 + 1862977^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121202202129 - 2²⁵ = 10121168647697 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121202202729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060601101064 + 5060601101065.

It is an arithmetic number, because the mean of its divisors is an integer number (5060601101065).

Almost surely, 2^{10121202202129} is an apocalyptic number.

It is an amenable number.

10121202202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121202202129 is an equidigital number, since it uses as much as digits as its factorization.

10121202202129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 10121202202129 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, two hundred two thousand, one hundred twenty-nine".