101001010010101 has 8 divisors (see below), whose sum is σ = 101895057595800. Its totient is φ = 100106966518272.

The previous prime is 101001010010057. The next prime is 101001010010123. The reversal of 101001010010101 is 101010010100101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1149934522500 + 99851075487601 = 1072350^2 + 9992551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101001010010101 - 2²³ = 101001001621493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001010010501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70657401 + ... + 72072673.

It is an arithmetic number, because the mean of its divisors is an integer number (12736882199475).

Almost surely, 2^{101001010010101} is an apocalyptic number.

It is an amenable number.

101001010010101 is a deficient number, since it is larger than the sum of its proper divisors (894047585699).

101001010010101 is a wasteful number, since it uses less digits than its factorization.

101001010010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046935.

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

Adding to 101001010010101 its reverse (101010010100101), we get a palindrome (202011020110202).

The spelling of 101001010010101 in words is "one hundred one trillion, one billion, ten million, ten thousand, one hundred one".