10011112121124 has 36 divisors (see below), whose sum is σ = 26243121077264. Its totient is φ = 3337037373384.

The previous prime is 10011112121123. The next prime is 10011112121137. The reversal of 10011112121124 is 42112121111001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10011112121097 and 10011112121106.

It is not an unprimeable number, because it can be changed into a prime (10011112121123) 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 11 ways as a sum of consecutive naturals, for example, 5149748062 + ... + 5149750005.

Almost surely, 2^{10011112121124} is an apocalyptic number.

It is an amenable number.

10011112121124 is an abundant number, since it is smaller than the sum of its proper divisors (16232008956140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011112121124 is a wasteful number, since it uses less digits than its factorization.

10011112121124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299498086 (or 10299498072 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10011112121124 its reverse (42112121111001), we get a palindrome (52123233232125).

The spelling of 10011112121124 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-four".