10110100110101 has 8 divisors (see below), whose sum is σ = 10153762720920. Its totient is φ = 10066439821312.

The previous prime is 10110100110059. The next prime is 10110100110133. The reversal of 10110100110101 is 10101100101101.

It can be written as a sum of positive squares in 4 ways, for example, as 158504311876 + 9951595798225 = 398126^2 + 3154615^2 .

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 10110100110101 - 2²² = 10110095915797 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 (10110100113101) 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, 8448821 + ... + 9570933.

It is an arithmetic number, because the mean of its divisors is an integer number (1269220340115).

Almost surely, 2^{10110100110101} is an apocalyptic number.

It is an amenable number.

10110100110101 is a deficient number, since it is larger than the sum of its proper divisors (43662610819).

10110100110101 is a wasteful number, since it uses less digits than its factorization.

10110100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161015.

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

Adding to 10110100110101 its reverse (10101100101101), we get a palindrome (20211200211202).

The spelling of 10110100110101 in words is "ten trillion, one hundred ten billion, one hundred million, one hundred ten thousand, one hundred one".