1001012101 has 2 divisors, whose sum is σ = 1001012102. Its totient is φ = 1001012100.

The previous prime is 1001012087. The next prime is 1001012107. The reversal of 1001012101 is 1012101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 924099201 + 76912900 = 30399^2 + 8770^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001012101 - 2¹¹ = 1001010053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500506050 + 500506051.

It is an arithmetic number, because the mean of its divisors is an integer number (500506051).

Almost surely, 2^1001012101 is an apocalyptic number.

It is an amenable number.

1001012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001012101 is an equidigital number, since it uses as much as digits as its factorization.

1001012101 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 1001012101 is about 31638.7752765495. The cubic root of 1001012101 is about 1000.3372532475.

Adding to 1001012101 its reverse (1012101001), we get a palindrome (2013113102).

Subtracting 1001012101 from its reverse (1012101001), we obtain a square (11088900 = 3330²).

The spelling of 1001012101 in words is "one billion, one million, twelve thousand, one hundred one".