21200222100100 has 18 divisors (see below), whose sum is σ = 46004481957434. Its totient is φ = 8480088840000.

The previous prime is 21200222100053. The next prime is 21200222100151. The reversal of 21200222100100 is 100122200212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 294093628416 + 20906128471684 = 542304^2 + 4572322^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 106001110401 + ... + 106001110600.

Almost surely, 2^{21200222100100} is an apocalyptic number.

21200222100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200222100100 is an abundant number, since it is smaller than the sum of its proper divisors (24804259857334).

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

21200222100100 is a wasteful number, since it uses less digits than its factorization.

21200222100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212002221015 (or 212002221008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21200222100100 its reverse (100122200212), we get a palindrome (21300344300312).

The spelling of 21200222100100 in words is "twenty-one trillion, two hundred billion, two hundred twenty-two million, one hundred thousand, one hundred".