21133120100 has 36 divisors (see below), whose sum is σ = 45949077300. Its totient is φ = 8436620160.

The previous prime is 21133120097. The next prime is 21133120117. The reversal of 21133120100 is 102133112.

It can be written as a sum of positive squares in 6 ways, for example, as 2278534756 + 18854585344 = 47734^2 + 137312^2 .

It is a super-2 number, since 2×21133120100² (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 156695 + ... + 258494.

Almost surely, 2^21133120100 is an apocalyptic number.

21133120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21133120100 is an abundant number, since it is smaller than the sum of its proper divisors (24815957200).

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

21133120100 is a wasteful number, since it uses less digits than its factorization.

21133120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415712 (or 415705 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21133120100 its reverse (102133112), we get a palindrome (21235253212).

It can be divided in two parts, 2113 and 3120100, that added together give a palindrome (3122213).

The spelling of 21133120100 in words is "twenty-one billion, one hundred thirty-three million, one hundred twenty thousand, one hundred".