10011011312112 has 40 divisors (see below), whose sum is σ = 25900206913104. Its totient is φ = 3332045359104.

The previous prime is 10011011312083. The next prime is 10011011312143. The reversal of 10011011312112 is 21121311011001.

It is a junction number, because it is equal to n+sod(n) for n = 10011011312091 and 10011011312100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154917723 + ... + 154982330.

Almost surely, 2^{10011011312112} is an apocalyptic number.

10011011312112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011011312112 is an abundant number, since it is smaller than the sum of its proper divisors (15889195600992).

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

10011011312112 is a wasteful number, since it uses less digits than its factorization.

10011011312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309900737 (or 309900731 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 10011011312112 its reverse (21121311011001), we get a palindrome (31132322323113).

The spelling of 10011011312112 in words is "ten trillion, eleven billion, eleven million, three hundred twelve thousand, one hundred twelve".