210002202001100 has 144 divisors (see below), whose sum is σ = 459347238645120. Its totient is φ = 83331810508800.

The previous prime is 210002202001091. The next prime is 210002202001127. The reversal of 210002202001100 is 1100202200012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15316323245 + ... + 15316336955.

It is an arithmetic number, because the mean of its divisors is an integer number (3189911379480).

Almost surely, 2^{210002202001100} is an apocalyptic number.

210002202001100 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 210002202001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229673619322560).

210002202001100 is an abundant number, since it is smaller than the sum of its proper divisors (249345036644020).

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

210002202001100 is a wasteful number, since it uses less digits than its factorization.

210002202001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15780 (or 15773 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210002202001100 its reverse (1100202200012), we get a palindrome (211102404201112).

The spelling of 210002202001100 in words is "two hundred ten trillion, two billion, two hundred two million, one thousand, one hundred".