10111110212112 has 640 divisors, whose sum is σ = 34333183868928. Its totient is φ = 2492400844800.

The previous prime is 10111110212107. The next prime is 10111110212129. The reversal of 10111110212112 is 21121201111101.

It is a junction number, because it is equal to n+sod(n) for n = 10111110212091 and 10111110212100.

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 127 ways as a sum of consecutive naturals, for example, 686375787 + ... + 686390517.

Almost surely, 2^{10111110212112} is an apocalyptic number.

10111110212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111110212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17166591934464).

10111110212112 is an abundant number, since it is smaller than the sum of its proper divisors (24222073656816).

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

10111110212112 is a wasteful number, since it uses less digits than its factorization.

10111110212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14967 (or 14961 counting only the distinct ones).

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

Adding to 10111110212112 its reverse (21121201111101), we get a palindrome (31232311323213).

The spelling of 10111110212112 in words is "ten trillion, one hundred eleven billion, one hundred ten million, two hundred twelve thousand, one hundred twelve".