10011112121122 has 32 divisors (see below), whose sum is σ = 17251879011840. Its totient is φ = 4267990708800.

The previous prime is 10011112121057. The next prime is 10011112121123. The reversal of 10011112121122 is 22112121111001.

It is a super-3 number, since 3×10011112121122³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011112121096 and 10011112121105.

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 15 ways as a sum of consecutive naturals, for example, 16529079 + ... + 17124037.

It is an arithmetic number, because the mean of its divisors is an integer number (539121219120).

Almost surely, 2^{10011112121122} is an apocalyptic number.

10011112121122 is a deficient number, since it is larger than the sum of its proper divisors (7240766890718).

10011112121122 is a wasteful number, since it uses less digits than its factorization.

10011112121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601266.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 10011112121122 its reverse (22112121111001), we get a palindrome (32123233232123).

The spelling of 10011112121122 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-two".