10111112121 has 32 divisors (see below), whose sum is σ = 14877945216. Its totient is φ = 6056960000.

The previous prime is 10111112071. The next prime is 10111112129. The reversal of 10111112121 is 12121111101.

It is a cyclic number.

It is not a de Polignac number, because 10111112121 - 2¹⁴ = 10111095737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111112097 and 10111112106.

It is not an unprimeable number, because it can be changed into a prime (10111112129) 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 31 ways as a sum of consecutive naturals, for example, 2254201 + ... + 2258681.

It is an arithmetic number, because the mean of its divisors is an integer number (464935788).

Almost surely, 2^10111112121 is an apocalyptic number.

10111112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111112121 is a deficient number, since it is larger than the sum of its proper divisors (4766833095).

10111112121 is a wasteful number, since it uses less digits than its factorization.

10111112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10111112121 its reverse (12121111101), we get a palindrome (22232223222).

The spelling of 10111112121 in words is "ten billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-one".