10000122220129 has 16 divisors (see below), whose sum is σ = 10893648776400. Its totient is φ = 9141410248704.

The previous prime is 10000122220103. The next prime is 10000122220199. The reversal of 10000122220129 is 92102222100001.

It can be written as a sum of positive squares in 8 ways, for example, as 120114230625 + 9880007989504 = 346575^2 + 3143248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000122220129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000122220199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13612614 + ... + 14328415.

It is an arithmetic number, because the mean of its divisors is an integer number (680853048525).

Almost surely, 2^{10000122220129} is an apocalyptic number.

It is an amenable number.

10000122220129 is a deficient number, since it is larger than the sum of its proper divisors (893526556271).

10000122220129 is a wasteful number, since it uses less digits than its factorization.

10000122220129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27941652.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10000122220129 in words is "ten trillion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty-nine".