1000110121112 has 16 divisors (see below), whose sum is σ = 1956737193840. Its totient is φ = 478313536096.

The previous prime is 1000110121093. The next prime is 1000110121117. The reversal of 1000110121112 is 2111210110001.

It is a super-3 number, since 3×1000110121112³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000110121093 and 1000110121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000110121117) 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 3 ways as a sum of consecutive naturals, for example, 2717690363 + ... + 2717690730.

It is an arithmetic number, because the mean of its divisors is an integer number (122296074615).

Almost surely, 2^{1000110121112} is an apocalyptic number.

It is an amenable number.

1000110121112 is a deficient number, since it is larger than the sum of its proper divisors (956627072728).

1000110121112 is a wasteful number, since it uses less digits than its factorization.

1000110121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435381122 (or 5435381118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1000110121112 its reverse (2111210110001), we get a palindrome (3111320231113).

The spelling of 1000110121112 in words is "one trillion, one hundred ten million, one hundred twenty-one thousand, one hundred twelve".