10110101100123 has 32 divisors (see below), whose sum is σ = 15430361034240. Its totient is φ = 5847294666240.

The previous prime is 10110101100109. The next prime is 10110101100133. The reversal of 10110101100123 is 32100110101101.

It is not a de Polignac number, because 10110101100123 - 2⁸ = 10110101099867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10110101100099 and 10110101100108.

It is not an unprimeable number, because it can be changed into a prime (10110101100133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140957943 + ... + 141029648.

It is an arithmetic number, because the mean of its divisors is an integer number (482198782320).

Almost surely, 2^{10110101100123} is an apocalyptic number.

10110101100123 is a deficient number, since it is larger than the sum of its proper divisors (5320259934117).

10110101100123 is a wasteful number, since it uses less digits than its factorization.

10110101100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281987667.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10110101100123 its reverse (32100110101101), we get a palindrome (42210211201224).

The spelling of 10110101100123 in words is "ten trillion, one hundred ten billion, one hundred one million, one hundred thousand, one hundred twenty-three".