1051010101 has 2 divisors, whose sum is σ = 1051010102. Its totient is φ = 1051010100.

The previous prime is 1051010069. The next prime is 1051010117. The reversal of 1051010101 is 1010101501.

1051010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 753447601 + 297562500 = 27449^2 + 17250^2 .

It is a cyclic number.

It is not a de Polignac number, because 1051010101 - 2⁵ = 1051010069 is a prime.

It is a super-2 number, since 2×1051010101² = 2209244464808060402, which contains 22 as substring.

1051010101 is a modest number, since divided by 10101 gives 1051 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1051010131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 525505050 + 525505051.

It is an arithmetic number, because the mean of its divisors is an integer number (525505051).

Almost surely, 2^1051010101 is an apocalyptic number.

It is an amenable number.

1051010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1051010101 is an equidigital number, since it uses as much as digits as its factorization.

1051010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 10.

The square root of 1051010101 is about 32419.2859421672. The cubic root of 1051010101 is about 1016.7221771118.

Adding to 1051010101 its reverse (1010101501), we get a palindrome (2061111602).

The spelling of 1051010101 in words is "one billion, fifty-one million, ten thousand, one hundred one".