10220200211129 has 2 divisors, whose sum is σ = 10220200211130. Its totient is φ = 10220200211128.

The previous prime is 10220200211107. The next prime is 10220200211141. The reversal of 10220200211129 is 92111200202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10208568157225 + 11632053904 = 3195085^2 + 107852^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220200211129 - 2¹⁶ = 10220200145593 is a prime.

It is a super-2 number, since 2×10220200211129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10220200211159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110100105564 + 5110100105565.

It is an arithmetic number, because the mean of its divisors is an integer number (5110100105565).

Almost surely, 2^{10220200211129} is an apocalyptic number.

It is an amenable number.

10220200211129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220200211129 is an equidigital number, since it uses as much as digits as its factorization.

10220200211129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10220200211129 in words is "ten trillion, two hundred twenty billion, two hundred million, two hundred eleven thousand, one hundred twenty-nine".