10010110110101 has 8 divisors (see below), whose sum is σ = 10018258984920. Its totient is φ = 10001963814912.

The previous prime is 10010110110073. The next prime is 10010110110163. The reversal of 10010110110101 is 10101101101001.

It can be written as a sum of positive squares in 4 ways, for example, as 1778891730001 + 8231218380100 = 1333751^2 + 2869010^2 .

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 10010110110101 - 2³⁸ = 9735232203157 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 (10010110110181) 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, 7157501 + ... + 8440973.

It is an arithmetic number, because the mean of its divisors is an integer number (1252282373115).

Almost surely, 2^{10010110110101} is an apocalyptic number.

It is an amenable number.

10010110110101 is a deficient number, since it is larger than the sum of its proper divisors (8148874819).

10010110110101 is a wasteful number, since it uses less digits than its factorization.

10010110110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289815.

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

Adding to 10010110110101 its reverse (10101101101001), we get a palindrome (20111211211102).

The spelling of 10010110110101 in words is "ten trillion, ten billion, one hundred ten million, one hundred ten thousand, one hundred one".