1011121212123 has 48 divisors (see below), whose sum is σ = 1602388734336. Its totient is φ = 609301509120.

The previous prime is 1011121212109. The next prime is 1011121212133. The reversal of 1011121212123 is 3212121211101.

It is a happy number.

It is not a de Polignac number, because 1011121212123 - 2¹³ = 1011121203931 is a prime.

It is a super-2 number, since 2×1011121212123² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011121212096 and 1011121212105.

It is not an unprimeable number, because it can be changed into a prime (1011121212133) 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 47 ways as a sum of consecutive naturals, for example, 38716836 + ... + 38742942.

It is an arithmetic number, because the mean of its divisors is an integer number (33383098632).

Almost surely, 2^{1011121212123} is an apocalyptic number.

1011121212123 is a deficient number, since it is larger than the sum of its proper divisors (591267522213).

1011121212123 is a wasteful number, since it uses less digits than its factorization.

1011121212123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28344 (or 28341 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1011121212123 its reverse (3212121211101), we get a palindrome (4223242423224).

The spelling of 1011121212123 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty-three".