2011010101 has 2 divisors, whose sum is σ = 2011010102. Its totient is φ = 2011010100.

The previous prime is 2011010077. The next prime is 2011010123. The reversal of 2011010101 is 1010101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2000415076 + 10595025 = 44726^2 + 3255^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011010101 - 2¹⁵ = 2010977333 is a prime.

2011010101 is a modest number, since divided by 10101 gives 2011 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011010201) 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, 1005505050 + 1005505051.

It is an arithmetic number, because the mean of its divisors is an integer number (1005505051).

Almost surely, 2^2011010101 is an apocalyptic number.

It is an amenable number.

2011010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011010101 is an equidigital number, since it uses as much as digits as its factorization.

2011010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 2011010101 is about 44844.2872727397. The cubic root of 2011010101 is about 1262.2287966423.

Adding to 2011010101 its reverse (1010101102), we get a palindrome (3021111203).

The spelling of 2011010101 in words is "two billion, eleven million, ten thousand, one hundred one".