200210012102100 has 288 divisors, whose sum is σ = 777766895732736. Its totient is φ = 38401920345600.

The previous prime is 200210012102083. The next prime is 200210012102143. The reversal of 200210012102100 is 1201210012002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333049704 + ... + 333650303.

It is an arithmetic number, because the mean of its divisors is an integer number (2700579499072).

Almost surely, 2^{200210012102100} is an apocalyptic number.

200210012102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210012102100 is an abundant number, since it is smaller than the sum of its proper divisors (577556883630636).

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

200210012102100 is a wasteful number, since it uses less digits than its factorization.

200210012102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666700055 (or 666700048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200210012102100 its reverse (1201210012002), we get a palindrome (201411222114102).

The spelling of 200210012102100 in words is "two hundred trillion, two hundred ten billion, twelve million, one hundred two thousand, one hundred".