10011112121112 has 16 divisors (see below), whose sum is σ = 25027780302840. Its totient is φ = 3337037373696.

The previous prime is 10011112121057. The next prime is 10011112121123. The reversal of 10011112121112 is 21112121111001.

It is a super-2 number, since 2×10011112121112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011112121091 and 10011112121100.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 208564835833 + ... + 208564835880.

Almost surely, 2^{10011112121112} is an apocalyptic number.

10011112121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011112121112 is an abundant number, since it is smaller than the sum of its proper divisors (15016668181728).

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

10011112121112 is a wasteful number, since it uses less digits than its factorization.

10011112121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417129671722 (or 417129671718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10011112121112 its reverse (21112121111001), we get a palindrome (31123233232113).

The spelling of 10011112121112 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twelve".