10121102123 has 16 divisors (see below), whose sum is σ = 11365564896. Its totient is φ = 8934282240.

The previous prime is 10121102041. The next prime is 10121102129. The reversal of 10121102123 is 32120112101.

10121102123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10121102123 - 2²⁴ = 10104324907 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121102098 and 10121102107.

It is not an unprimeable number, because it can be changed into a prime (10121102129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32936 + ... + 146037.

It is an arithmetic number, because the mean of its divisors is an integer number (710347806).

Almost surely, 2^10121102123 is an apocalyptic number.

10121102123 is a deficient number, since it is larger than the sum of its proper divisors (1244462773).

10121102123 is a wasteful number, since it uses less digits than its factorization.

10121102123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179134.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10121102123 its reverse (32120112101), we get a palindrome (42241214224).

The spelling of 10121102123 in words is "ten billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-three".