10101001010101 has 2 divisors, whose sum is σ = 10101001010102. Its totient is φ = 10101001010100.

The previous prime is 10101001010081. The next prime is 10101001010143. The reversal of 10101001010101 is 10101010010101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5130995128900 + 4970005881201 = 2265170^2 + 2229351^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101001010101 - 2⁵ = 10101001010069 is a prime.

It is a super-2 number, since 2×10101001010101² (a number of 27 digits) contains 22 as substring.

10101001010101 is a modest number, since divided by 1010101 gives 101010 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101001010171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500505050 + 5050500505051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500505051).

Almost surely, 2^{10101001010101} is an apocalyptic number.

It is an amenable number.

10101001010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001010101 is an equidigital number, since it uses as much as digits as its factorization.

10101001010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101001010101 its reverse (10101010010101), we get a palindrome (20202011020202).

Subtracting 10101001010101 from its reverse (10101010010101), we obtain a square (9000000 = 3000²).

The spelling of 10101001010101 in words is "ten trillion, one hundred one billion, one million, ten thousand, one hundred one".