21200220001000 has 64 divisors (see below), whose sum is σ = 51319153314000. Its totient is φ = 8187671161600.

The previous prime is 21200220000983. The next prime is 21200220001007. The reversal of 21200220001000 is 10002200212.

It can be written as a sum of positive squares in 8 ways, for example, as 593722645156 + 20606497355844 = 770534^2 + 4539438^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21200220001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365492035 + ... + 365550034.

Almost surely, 2^{21200220001000} is an apocalyptic number.

21200220001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200220001000 is an abundant number, since it is smaller than the sum of its proper divisors (30118933313000).

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

21200220001000 is a wasteful number, since it uses less digits than its factorization.

21200220001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731042119 (or 731042105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21200220001000 its reverse (10002200212), we get a palindrome (21210222201212).

The spelling of 21200220001000 in words is "twenty-one trillion, two hundred billion, two hundred twenty million, one thousand".