10110110100101 has 8 divisors (see below), whose sum is σ = 11138411128608. Its totient is φ = 9100009090000.

The previous prime is 10110110100071. The next prime is 10110110100137. The reversal of 10110110100101 is 10100101101101.

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 10110110100101 - 2⁶ = 10110110100037 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 (10110110108101) 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, 4550003435 + ... + 4550005656.

It is an arithmetic number, because the mean of its divisors is an integer number (1392301391076).

Almost surely, 2^{10110110100101} is an apocalyptic number.

10110110100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110110100101 is a deficient number, since it is larger than the sum of its proper divisors (1028301028507).

10110110100101 is a wasteful number, since it uses less digits than its factorization.

10110110100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9100009203.

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

Adding to 10110110100101 its reverse (10100101101101), we get a palindrome (20210211201202).

It can be divided in two parts, 101101 and 10100101, that multiplied together give a palindrome (1021130311201).

The spelling of 10110110100101 in words is "ten trillion, one hundred ten billion, one hundred ten million, one hundred thousand, one hundred one".