100200210211200 has 192 divisors, whose sum is σ = 360037573888320. Its totient is φ = 24290960025600.

The previous prime is 100200210211133. The next prime is 100200210211279. The reversal of 100200210211200 is 2112012002001.

It is a tau number, because it is divible by the number of its divisors (192).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474327214 + ... + 474538413.

It is an arithmetic number, because the mean of its divisors is an integer number (1875195697335).

Almost surely, 2^{100200210211200} is an apocalyptic number.

100200210211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200210211200 is an abundant number, since it is smaller than the sum of its proper divisors (259837363677120).

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

100200210211200 is a wasteful number, since it uses less digits than its factorization.

100200210211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948865665 (or 948865648 counting only the distinct ones).

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

Adding to 100200210211200 its reverse (2112012002001), we get a palindrome (102312222213201).

The spelling of 100200210211200 in words is "one hundred trillion, two hundred billion, two hundred ten million, two hundred eleven thousand, two hundred".