10012012001112 has 64 divisors (see below), whose sum is σ = 27651126412800. Its totient is φ = 2995538682240.

The previous prime is 10012012001041. The next prime is 10012012001137. The reversal of 10012012001112 is 21110021021001.

10012012001112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10012012001112³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240006283 + ... + 240047994.

It is an arithmetic number, because the mean of its divisors is an integer number (432048850200).

Almost surely, 2^{10012012001112} is an apocalyptic number.

10012012001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012012001112 is an abundant number, since it is smaller than the sum of its proper divisors (17639114411688).

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

10012012001112 is a wasteful number, since it uses less digits than its factorization.

10012012001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480054376 (or 480054372 counting only the distinct ones).

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

Adding to 10012012001112 its reverse (21110021021001), we get a palindrome (31122033022113).

The spelling of 10012012001112 in words is "ten trillion, twelve billion, twelve million, one thousand, one hundred twelve".