10200122111029 has 2 divisors, whose sum is σ = 10200122111030. Its totient is φ = 10200122111028.

The previous prime is 10200122111009. The next prime is 10200122111071. The reversal of 10200122111029 is 92011122100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9579012620004 + 621109491025 = 3094998^2 + 788105^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200122111029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200122111009) 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, 5100061055514 + 5100061055515.

It is an arithmetic number, because the mean of its divisors is an integer number (5100061055515).

Almost surely, 2^{10200122111029} is an apocalyptic number.

It is an amenable number.

10200122111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200122111029 is an equidigital number, since it uses as much as digits as its factorization.

10200122111029 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 10200122111029 in words is "ten trillion, two hundred billion, one hundred twenty-two million, one hundred eleven thousand, twenty-nine".