21012333121000 has 64 divisors (see below), whose sum is σ = 52951079497680. Its totient is φ = 7758399916800.

The previous prime is 21012333120991. The next prime is 21012333121057. The reversal of 21012333121000 is 12133321012.

It can be written as a sum of positive squares in 8 ways, for example, as 132788817604 + 20879544303396 = 364402^2 + 4569414^2 .

It is a super-3 number, since 3×21012333121000³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 808153659 + ... + 808179658.

Almost surely, 2^{21012333121000} is an apocalyptic number.

21012333121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012333121000 is an abundant number, since it is smaller than the sum of its proper divisors (31938746376680).

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

21012333121000 is a wasteful number, since it uses less digits than its factorization.

21012333121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616333351 (or 1616333337 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21012333121000 its reverse (12133321012), we get a palindrome (21024466442012).

The spelling of 21012333121000 in words is "twenty-one trillion, twelve billion, three hundred thirty-three million, one hundred twenty-one thousand".