10211010220129 has 2 divisors, whose sum is σ = 10211010220130. Its totient is φ = 10211010220128.

The previous prime is 10211010220109. The next prime is 10211010220211. The reversal of 10211010220129 is 92102201011201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9995967489600 + 215042730529 = 3161640^2 + 463727^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211010220129 - 2¹¹ = 10211010218081 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211010220109) 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, 5105505110064 + 5105505110065.

It is an arithmetic number, because the mean of its divisors is an integer number (5105505110065).

Almost surely, 2^{10211010220129} is an apocalyptic number.

It is an amenable number.

10211010220129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211010220129 is an equidigital number, since it uses as much as digits as its factorization.

10211010220129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10211010220129 in words is "ten trillion, two hundred eleven billion, ten million, two hundred twenty thousand, one hundred twenty-nine".