10010101 has 2 divisors, whose sum is σ = 10010102. Its totient is φ = 10010100.

The previous prime is 10010089. The next prime is 10010113. The reversal of 10010101 is 10101001.

It is a balanced prime because it is at equal distance from previous prime (10010089) and next prime (10010113).

It can be written as a sum of positive squares in only one way, i.e., 7017201 + 2992900 = 2649^2 + 1730^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010101 - 2⁵ = 10010069 is a prime.

10010101 is a modest number, since divided by 10101 gives 10 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050 + 5005051.

It is an arithmetic number, because the mean of its divisors is an integer number (5005051).

Almost surely, 2^10010101 is an apocalyptic number.

It is an amenable number.

10010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010101 is an equidigital number, since it uses as much as digits as its factorization.

10010101 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 10010101 is about 3163.8743653944. The cubic root of 10010101 is about 215.5159844087.

Adding to 10010101 its reverse (10101001), we get a palindrome (20111102).

Multiplying 10010101 by its reverse (10101001), we get a palindrome (101112040211101).

It can be divided in two parts, 100 and 10101, that added together give a palindrome (10201).

The spelling of 10010101 in words is "ten million, ten thousand, one hundred one".