10120101123 has 8 divisors (see below), whose sum is σ = 14720147136. Its totient is φ = 6133394600.

The previous prime is 10120101113. The next prime is 10120101133. The reversal of 10120101123 is 32110102101.

10120101123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10120101113) and next prime (10120101133).

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 10120101123 - 2¹⁰ = 10120100099 is a prime.

It is a super-3 number, since 3×10120101123³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10120101099 and 10120101108.

It is not an unprimeable number, because it can be changed into a prime (10120101113) 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 7 ways as a sum of consecutive naturals, for example, 153334833 + ... + 153334898.

It is an arithmetic number, because the mean of its divisors is an integer number (1840018392).

Almost surely, 2^10120101123 is an apocalyptic number.

10120101123 is a deficient number, since it is larger than the sum of its proper divisors (4600046013).

10120101123 is a wasteful number, since it uses less digits than its factorization.

10120101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306669745.

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

Adding to 10120101123 its reverse (32110102101), we get a palindrome (42230203224).

The spelling of 10120101123 in words is "ten billion, one hundred twenty million, one hundred one thousand, one hundred twenty-three".