21000212032100 has 72 divisors (see below), whose sum is σ = 53063177364288. Its totient is φ = 7064222256000.

The previous prime is 21000212032013. The next prime is 21000212032103. The reversal of 21000212032100 is 123021200012.

It is a happy number.

It is a super-2 number, since 2×21000212032100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (21000212032103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282984626 + ... + 283058825.

It is an arithmetic number, because the mean of its divisors is an integer number (736988574504).

Almost surely, 2^{21000212032100} is an apocalyptic number.

21000212032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000212032100 is an abundant number, since it is smaller than the sum of its proper divisors (32062965332188).

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

21000212032100 is a wasteful number, since it uses less digits than its factorization.

21000212032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566043525 (or 566043518 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21000212032100 its reverse (123021200012), we get a palindrome (21123233232112).

The spelling of 21000212032100 in words is "twenty-one trillion, two hundred twelve million, thirty-two thousand, one hundred".