210200121100 has 72 divisors (see below), whose sum is σ = 476420319648. Its totient is φ = 80347660800.

The previous prime is 210200121097. The next prime is 210200121107. The reversal of 210200121100 is 1121002012.

210200121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210200121107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2397232 + ... + 2483368.

It is an arithmetic number, because the mean of its divisors is an integer number (6616948884).

Almost surely, 2^210200121100 is an apocalyptic number.

210200121100 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 210200121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238210159824).

210200121100 is an abundant number, since it is smaller than the sum of its proper divisors (266220198548).

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

210200121100 is a wasteful number, since it uses less digits than its factorization.

210200121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87235 (or 87228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210200121100 its reverse (1121002012), we get a palindrome (211321123112).

The spelling of 210200121100 in words is "two hundred ten billion, two hundred million, one hundred twenty-one thousand, one hundred".