10120120002112 has 112 divisors (see below), whose sum is σ = 21527900251200. Its totient is φ = 4705874012160.

The previous prime is 10120120002103. The next prime is 10120120002119. The reversal of 10120120002112 is 21120002102101.

It is a junction number, because it is equal to n+sod(n) for n = 10120120002092 and 10120120002101.

It is not an unprimeable number, because it can be changed into a prime (10120120002119) 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, 37621563 + ... + 37889605.

It is an arithmetic number, because the mean of its divisors is an integer number (192213395100).

Almost surely, 2^{10120120002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120120002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10763950125600).

10120120002112 is an abundant number, since it is smaller than the sum of its proper divisors (11407780249088).

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

10120120002112 is a wasteful number, since it uses less digits than its factorization.

10120120002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268644 (or 268634 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120120002112 its reverse (21120002102101), we get a palindrome (31240122104213).

The spelling of 10120120002112 in words is "ten trillion, one hundred twenty billion, one hundred twenty million, two thousand, one hundred twelve".