10111042123121 has 16 divisors (see below), whose sum is σ = 10996033135824. Its totient is φ = 9258339262464.

The previous prime is 10111042123109. The next prime is 10111042123129. The reversal of 10111042123121 is 12132124011101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 396693386896 + 9714348736225 = 629836^2 + 3116785^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10111042123121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111042123093 and 10111042123102.

It is not an unprimeable number, because it can be changed into a prime (10111042123129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7323521 + ... + 8593953.

It is an arithmetic number, because the mean of its divisors is an integer number (687252070989).

Almost surely, 2^{10111042123121} is an apocalyptic number.

It is an amenable number.

10111042123121 is a deficient number, since it is larger than the sum of its proper divisors (884991012703).

10111042123121 is a wasteful number, since it uses less digits than its factorization.

10111042123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283140.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 10111042123121 its reverse (12132124011101), we get a palindrome (22243166134222).

The spelling of 10111042123121 in words is "ten trillion, one hundred eleven billion, forty-two million, one hundred twenty-three thousand, one hundred twenty-one".