21200010001100 has 72 divisors (see below), whose sum is σ = 53568025364448. Its totient is φ = 7131431923200.

The previous prime is 21200010001087. The next prime is 21200010001201. The reversal of 21200010001100 is 110001000212.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 285677321 + ... + 285751520.

It is an arithmetic number, because the mean of its divisors is an integer number (744000352284).

Almost surely, 2^{21200010001100} is an apocalyptic number.

21200010001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200010001100 is an abundant number, since it is smaller than the sum of its proper divisors (32368015363348).

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

21200010001100 is a wasteful number, since it uses less digits than its factorization.

21200010001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571428915 (or 571428908 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21200010001100 its reverse (110001000212), we get a palindrome (21310011001312).

The spelling of 21200010001100 in words is "twenty-one trillion, two hundred billion, ten million, one thousand, one hundred".