1000010101 has 2 divisors, whose sum is σ = 1000010102. Its totient is φ = 1000010100.

The previous prime is 1000010069. The next prime is 1000010153. The reversal of 1000010101 is 1010100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 872907025 + 127103076 = 29545^2 + 11274^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000010101 - 2⁵ = 1000010069 is a prime.

1000010101 is a modest number, since divided by 10101 gives 1000 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000010801) 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, 500005050 + 500005051.

It is an arithmetic number, because the mean of its divisors is an integer number (500005051).

Almost surely, 2^1000010101 is an apocalyptic number.

It is an amenable number.

1000010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010101 is an equidigital number, since it uses as much as digits as its factorization.

1000010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1000010101 is about 31622.9363121137. The cubic root of 1000010101 is about 1000.0033669887.

Adding to 1000010101 its reverse (1010100001), we get a palindrome (2010110102).

The spelling of 1000010101 in words is "one billion, ten thousand, one hundred one".