10110210122112 has 128 divisors (see below), whose sum is σ = 27223592646240. Its totient is φ = 3324159541248.

The previous prime is 10110210122083. The next prime is 10110210122119. The reversal of 10110210122112 is 21122101201101.

It is a happy number.

10110210122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10110210122091 and 10110210122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110210122119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7647418 + ... + 8871494.

Almost surely, 2^{10110210122112} is an apocalyptic number.

10110210122112 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 10110210122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611796323120).

10110210122112 is an abundant number, since it is smaller than the sum of its proper divisors (17113382524128).

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

10110210122112 is a wasteful number, since it uses less digits than its factorization.

10110210122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224388 (or 1224376 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10110210122112 its reverse (21122101201101), we get a palindrome (31232311323213).

The spelling of 10110210122112 in words is "ten trillion, one hundred ten billion, two hundred ten million, one hundred twenty-two thousand, one hundred twelve".