101010110100101 has 4 divisors (see below), whose sum is σ = 102010210200204. Its totient is φ = 100010010000000.

The previous prime is 101010110100037. The next prime is 101010110100113. The reversal of 101010110100101 is 101001011010101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 99321175932001 + 1688934168100 = 9966001^2 + 1299590^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010110100101 - 2⁶ = 101010110100037 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 (101010110100181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500050049900 + ... + 500050050101.

It is an arithmetic number, because the mean of its divisors is an integer number (25502552550051).

Almost surely, 2^{101010110100101} is an apocalyptic number.

It is an amenable number.

101010110100101 is a deficient number, since it is larger than the sum of its proper divisors (1000100100103).

101010110100101 is a wasteful number, since it uses less digits than its factorization.

101010110100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000100100102.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101010110100101 its reverse (101001011010101), we get a palindrome (202011121110202).

It can be divided in two parts, 1010101 and 10100101, that multiplied together give a palindrome (10202122120201).

The spelling of 101010110100101 in words is "one hundred one trillion, ten billion, one hundred ten million, one hundred thousand, one hundred one".