21012000021012 has 768 divisors, whose sum is σ = 74082174566400. Its totient is φ = 4448250224640.

The previous prime is 21012000021011. The next prime is 21012000021037.

21012000021012 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012000021011) 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 255 ways as a sum of consecutive naturals, for example, 399600939 + ... + 399653517.

It is an arithmetic number, because the mean of its divisors is an integer number (96461164800).

Almost surely, 2^{21012000021012} is an apocalyptic number.

21012000021012 is a gapful number since it is divisible by the number (22) 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 21012000021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37041087283200).

21012000021012 is an abundant number, since it is smaller than the sum of its proper divisors (53070174545388).

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

21012000021012 is a wasteful number, since it uses less digits than its factorization.

21012000021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52756 (or 52754 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 210120000 and 21012, that multiplied together give a square (4415041440000 = 2101200²).

The spelling of 21012000021012 in words is "twenty-one trillion, twelve billion, twenty-one thousand, twelve".