210011133300100 has 288 divisors, whose sum is σ = 522136501125120. Its totient is φ = 72617143296000.

The previous prime is 210011133300053. The next prime is 210011133300103. The reversal of 210011133300100 is 1003331110012.

It is a super-2 number, since 2×210011133300100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210011133300103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4440239652 + ... + 4440286948.

It is an arithmetic number, because the mean of its divisors is an integer number (1812973962240).

Almost surely, 2^{210011133300100} is an apocalyptic number.

210011133300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210011133300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261068250562560).

210011133300100 is an abundant number, since it is smaller than the sum of its proper divisors (312125367825020).

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

210011133300100 is a wasteful number, since it uses less digits than its factorization.

210011133300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49619 (or 49612 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 210011133300100 its reverse (1003331110012), we get a palindrome (211014464410112).

The spelling of 210011133300100 in words is "two hundred ten trillion, eleven billion, one hundred thirty-three million, three hundred thousand, one hundred".