210011122100 has 36 divisors (see below), whose sum is σ = 490779840684. Its totient is φ = 77542567680.

The previous prime is 210011122033. The next prime is 210011122117. The reversal of 210011122100 is 1221110012.

210011122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11218199056 + 198792923044 = 105916^2 + 445862^2 .

It is a super-4 number, since 4×210011122100⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 80772209 + ... + 80774808.

Almost surely, 2^210011122100 is an apocalyptic number.

210011122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210011122100 is an abundant number, since it is smaller than the sum of its proper divisors (280768718584).

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

210011122100 is a wasteful number, since it uses less digits than its factorization.

210011122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161547044 (or 161547037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210011122100 its reverse (1221110012), we get a palindrome (211232232112).

The spelling of 210011122100 in words is "two hundred ten billion, eleven million, one hundred twenty-two thousand, one hundred".