100212212010200 has 192 divisors, whose sum is σ = 247776784708320. Its totient is φ = 37562356736000.

The previous prime is 100212212010161. The next prime is 100212212010241. The reversal of 100212212010200 is 2010212212001.

It is a congruent 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, 1056920795 + ... + 1057015605.

Almost surely, 2^{100212212010200} is an apocalyptic number.

100212212010200 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 100212212010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123888392354160).

100212212010200 is an abundant number, since it is smaller than the sum of its proper divisors (147564572698120).

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

100212212010200 is a wasteful number, since it uses less digits than its factorization.

100212212010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96198 (or 96189 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212212010200 its reverse (2010212212001), we get a palindrome (102222424222201).

The spelling of 100212212010200 in words is "one hundred trillion, two hundred twelve billion, two hundred twelve million, ten thousand, two hundred".