21132121000 has 64 divisors (see below), whose sum is σ = 49533120000. Its totient is φ = 8438497600.

The previous prime is 21132120991. The next prime is 21132121009. The reversal of 21132121000 is 12123112.

It is an interprime number because it is at equal distance from previous prime (21132120991) and next prime (21132121009).

It is not an unprimeable number, because it can be changed into a prime (21132121009) 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 15 ways as a sum of consecutive naturals, for example, 581361 + ... + 616639.

It is an arithmetic number, because the mean of its divisors is an integer number (773955000).

Almost surely, 2^21132121000 is an apocalyptic number.

21132121000 is a gapful number since it is divisible by the number (20) 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 21132121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560000).

21132121000 is an abundant number, since it is smaller than the sum of its proper divisors (28400999000).

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

21132121000 is a wasteful number, since it uses less digits than its factorization.

21132121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35899 (or 35885 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21132121000 its reverse (12123112), we get a palindrome (21144244112).

The spelling of 21132121000 in words is "twenty-one billion, one hundred thirty-two million, one hundred twenty-one thousand".