2011010127101 has 2 divisors, whose sum is σ = 2011010127102. Its totient is φ = 2011010127100.

The previous prime is 2011010127097. The next prime is 2011010127127. The reversal of 2011010127101 is 1017210101102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1814961312025 + 196048815076 = 1347205^2 + 442774^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011010127101 - 2² = 2011010127097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011010127101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011010127901) 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, 1005505063550 + 1005505063551.

It is an arithmetic number, because the mean of its divisors is an integer number (1005505063551).

Almost surely, 2^{2011010127101} is an apocalyptic number.

It is an amenable number.

2011010127101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011010127101 is an equidigital number, since it uses as much as digits as its factorization.

2011010127101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 2011010127101 its reverse (1017210101102), we get a palindrome (3028220228203).

The spelling of 2011010127101 in words is "two trillion, eleven billion, ten million, one hundred twenty-seven thousand, one hundred one".