10002110112 has 144 divisors (see below), whose sum is σ = 30017070720. Its totient is φ = 3150489600.

The previous prime is 10002110081. The next prime is 10002110113. The reversal of 10002110112 is 21101120001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 10002110094 and 10002110103.

It is not an unprimeable number, because it can be changed into a prime (10002110113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2356312 + ... + 2360552.

It is an arithmetic number, because the mean of its divisors is an integer number (208451880).

Almost surely, 2^10002110112 is an apocalyptic number.

10002110112 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 10002110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15008535360).

10002110112 is an abundant number, since it is smaller than the sum of its proper divisors (20014960608).

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

10002110112 is a wasteful number, since it uses less digits than its factorization.

10002110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707 (or 4696 counting only the distinct ones).

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

Adding to 10002110112 its reverse (21101120001), we get a palindrome (31103230113).

It can be divided in two parts, 1000 and 2110112, that added together give a palindrome (2111112).

The spelling of 10002110112 in words is "ten billion, two million, one hundred ten thousand, one hundred twelve".