10122121123 has 8 divisors (see below), whose sum is σ = 10914739920. Its totient is φ = 9355489920.

The previous prime is 10122121091. The next prime is 10122121157. The reversal of 10122121123 is 32112122101.

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 10122121123 - 2⁵ = 10122121091 is a prime.

It is a super-2 number, since 2×10122121123² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122121097 and 10122121106.

It is not an unprimeable number, because it can be changed into a prime (10122121523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6496090 + ... + 6497647.

It is an arithmetic number, because the mean of its divisors is an integer number (1364342490).

Almost surely, 2^10122121123 is an apocalyptic number.

10122121123 is a deficient number, since it is larger than the sum of its proper divisors (792618797).

10122121123 is a wasteful number, since it uses less digits than its factorization.

10122121123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12993797.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10122121123 its reverse (32112122101), we get a palindrome (42234243224).

The spelling of 10122121123 in words is "ten billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-three".