10120012010112 has 32 divisors (see below), whose sum is σ = 26881281902880. Its totient is φ = 3373337336576.

The previous prime is 10120012010111. The next prime is 10120012010123. The reversal of 10120012010112 is 21101021002101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×10120012010112³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10120012010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13177098588 + ... + 13177099355.

It is an arithmetic number, because the mean of its divisors is an integer number (840040059465).

Almost surely, 2^{10120012010112} is an apocalyptic number.

10120012010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120012010112 is an abundant number, since it is smaller than the sum of its proper divisors (16761269892768).

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

10120012010112 is an equidigital number, since it uses as much as digits as its factorization.

10120012010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26354197960 (or 26354197948 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10120012010112 its reverse (21101021002101), we get a palindrome (31221033012213).

The spelling of 10120012010112 in words is "ten trillion, one hundred twenty billion, twelve million, ten thousand, one hundred twelve".