21122201020100 has 72 divisors (see below), whose sum is σ = 45891582933000. Its totient is φ = 8438487091200.

The previous prime is 21122201019991. The next prime is 21122201020103. The reversal of 21122201020100 is 102010222112.

It can be written as a sum of positive squares in 12 ways, for example, as 11470901944384 + 9651299075716 = 3386872^2 + 3106654^2 .

It is a super-2 number, since 2×21122201020100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122201020103) 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, 444009116 + ... + 444056684.

Almost surely, 2^{21122201020100} is an apocalyptic number.

21122201020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122201020100 is an abundant number, since it is smaller than the sum of its proper divisors (24769381912900).

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

21122201020100 is a wasteful number, since it uses less digits than its factorization.

21122201020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52953 (or 52946 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21122201020100 its reverse (102010222112), we get a palindrome (21224211242212).

The spelling of 21122201020100 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred one million, twenty thousand, one hundred".