2010110012129 has 2 divisors, whose sum is σ = 2010110012130. Its totient is φ = 2010110012128.

The previous prime is 2010110012077. The next prime is 2010110012137. The reversal of 2010110012129 is 9212100110102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2001942010000 + 8168002129 = 1414900^2 + 90377^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010110012129 - 2¹² = 2010110008033 is a prime.

It is a super-2 number, since 2×2010110012129² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2010110012129.

It is not a weakly prime, because it can be changed into another prime (2010119012129) 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, 1005055006064 + 1005055006065.

It is an arithmetic number, because the mean of its divisors is an integer number (1005055006065).

Almost surely, 2^{2010110012129} is an apocalyptic number.

It is an amenable number.

2010110012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010110012129 is an equidigital number, since it uses as much as digits as its factorization.

2010110012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 2010110012129 in words is "two trillion, ten billion, one hundred ten million, twelve thousand, one hundred twenty-nine".