100212012100200 has 1152 divisors, whose sum is σ = 423249296025600. Its totient is φ = 19044979200000.

The previous prime is 100212012100177. The next prime is 100212012100219. The reversal of 100212012100200 is 2001210212001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 850991325 + ... + 851109075.

It is an arithmetic number, because the mean of its divisors is an integer number (367403902800).

Almost surely, 2^{100212012100200} is an apocalyptic number.

100212012100200 is a gapful number since it is divisible by the number (10) 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 100212012100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211624648012800).

100212012100200 is an abundant number, since it is smaller than the sum of its proper divisors (323037283925400).

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

100212012100200 is a wasteful number, since it uses less digits than its factorization.

100212012100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117923 (or 117901 counting only the distinct ones).

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

Adding to 100212012100200 its reverse (2001210212001), we get a palindrome (102213222312201).

The spelling of 100212012100200 in words is "one hundred trillion, two hundred twelve billion, twelve million, one hundred thousand, two hundred".