21001330002132 has 192 divisors, whose sum is σ = 56452025226240. Its totient is φ = 6747579251712.

The previous prime is 21001330002073. The next prime is 21001330002137. The reversal of 21001330002132 is 23120003310012.

It is a super-2 number, since 2×21001330002132² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001330002137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250819138 + ... + 250902854.

It is an arithmetic number, because the mean of its divisors is an integer number (294020964720).

Almost surely, 2^{21001330002132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001330002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226012613120).

21001330002132 is an abundant number, since it is smaller than the sum of its proper divisors (35450695224108).

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

21001330002132 is a wasteful number, since it uses less digits than its factorization.

21001330002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84527 (or 84519 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21001330002132 its reverse (23120003310012), we get a palindrome (44121333312144).

The spelling of 21001330002132 in words is "twenty-one trillion, one billion, three hundred thirty million, two thousand, one hundred thirty-two".