10012111212012 has 192 divisors, whose sum is σ = 28872390328320. Its totient is φ = 2629574896896.

The previous prime is 10012111211987. The next prime is 10012111212031. The reversal of 10012111212012 is 21021211121001.

It is a happy number.

It is a super-2 number, since 2×10012111212012² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012111211982 and 10012111212000.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1211675793 + ... + 1211684055.

It is an arithmetic number, because the mean of its divisors is an integer number (150377032960).

Almost surely, 2^{10012111212012} is an apocalyptic number.

10012111212012 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 10012111212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436195164160).

10012111212012 is an abundant number, since it is smaller than the sum of its proper divisors (18860279116308).

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

10012111212012 is a wasteful number, since it uses less digits than its factorization.

10012111212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772 (or 12770 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10012111212012 its reverse (21021211121001), we get a palindrome (31033322333013).

The spelling of 10012111212012 in words is "ten trillion, twelve billion, one hundred eleven million, two hundred twelve thousand, twelve".