2012010101 has 2 divisors, whose sum is σ = 2012010102. Its totient is φ = 2012010100.

The previous prime is 2012010089. The next prime is 2012010151. The reversal of 2012010101 is 1010102102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1924138225 + 87871876 = 43865^2 + 9374^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012010101 - 2⁶ = 2012010037 is a prime.

2012010101 is a modest number, since divided by 10101 gives 2012 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012010151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006005050 + 1006005051.

It is an arithmetic number, because the mean of its divisors is an integer number (1006005051).

Almost surely, 2^2012010101 is an apocalyptic number.

It is an amenable number.

2012010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012010101 is an equidigital number, since it uses as much as digits as its factorization.

2012010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2012010101 is about 44855.4355792027. The cubic root of 2012010101 is about 1262.4379816739.

Adding to 2012010101 its reverse (1010102102), we get a palindrome (3022112203).

The spelling of 2012010101 in words is "two billion, twelve million, ten thousand, one hundred one".