10110002112 has 168 divisors, whose sum is σ = 33680400000. Its totient is φ = 2839546368.

The previous prime is 10110002101. The next prime is 10110002129. The reversal of 10110002112 is 21120001101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10110002094 and 10110002103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216639 + ... + 259137.

Almost surely, 2^10110002112 is an apocalyptic number.

10110002112 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 10110002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16840200000).

10110002112 is an abundant number, since it is smaller than the sum of its proper divisors (23570397888).

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

10110002112 is a wasteful number, since it uses less digits than its factorization.

10110002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42583 (or 42570 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110002112 its reverse (21120001101), we get a palindrome (31230003213).

The spelling of 10110002112 in words is "ten billion, one hundred ten million, two thousand, one hundred twelve".