10220211100129 has 2 divisors, whose sum is σ = 10220211100130. Its totient is φ = 10220211100128.

The previous prime is 10220211100091. The next prime is 10220211100133. The reversal of 10220211100129 is 92100111202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9530945851729 + 689265248400 = 3087223^2 + 830220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10220211100129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10220211100139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110105550064 + 5110105550065.

It is an arithmetic number, because the mean of its divisors is an integer number (5110105550065).

Almost surely, 2^{10220211100129} is an apocalyptic number.

It is an amenable number.

10220211100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220211100129 is an equidigital number, since it uses as much as digits as its factorization.

10220211100129 is an evil number, because the sum of its binary digits is even.

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

The spelling of 10220211100129 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, one hundred thousand, one hundred twenty-nine".