21001332012012 has 180 divisors, whose sum is σ = 60351651246040. Its totient is φ = 6363488355840.

The previous prime is 21001332011983. The next prime is 21001332012047. The reversal of 21001332012012 is 21021023310012.

21001332012012 is a `hidden beast` number, since 210 + 0 + 1 + 3 + 320 + 120 + 12 = 666.

It is a super-2 number, since 2×21001332012012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 838129788 + ... + 838154844.

Almost surely, 2^{21001332012012} is an apocalyptic number.

21001332012012 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 21001332012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30175825623020).

21001332012012 is an abundant number, since it is smaller than the sum of its proper divisors (39350319234028).

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

21001332012012 is a wasteful number, since it uses less digits than its factorization.

21001332012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46474 (or 46452 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21001332012012 its reverse (21021023310012), we get a palindrome (42022355322024).

The spelling of 21001332012012 in words is "twenty-one trillion, one billion, three hundred thirty-two million, twelve thousand, twelve".