10211110121112 has 128 divisors (see below), whose sum is σ = 27289315627200. Its totient is φ = 3172707532800.

The previous prime is 10211110121087. The next prime is 10211110121123. The reversal of 10211110121112 is 21112101111201.

It is a junction number, because it is equal to n+sod(n) for n = 10211110121091 and 10211110121100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104059912 + ... + 104157992.

Almost surely, 2^{10211110121112} is an apocalyptic number.

10211110121112 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 10211110121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644657813600).

10211110121112 is an abundant number, since it is smaller than the sum of its proper divisors (17078205506088).

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

10211110121112 is a wasteful number, since it uses less digits than its factorization.

10211110121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100557 (or 100553 counting only the distinct ones).

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

Adding to 10211110121112 its reverse (21112101111201), we get a palindrome (31323211232313).

The spelling of 10211110121112 in words is "ten trillion, two hundred eleven billion, one hundred ten million, one hundred twenty-one thousand, one hundred twelve".