100201112212200 has 192 divisors, whose sum is σ = 315947492352000. Its totient is φ = 26262484151040.

The previous prime is 100201112212193. The next prime is 100201112212211. The reversal of 100201112212200 is 2212211102001.

It is a super-3 number, since 3×100201112212200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100201112212200.

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 47 ways as a sum of consecutive naturals, for example, 190437081 + ... + 190962519.

It is an arithmetic number, because the mean of its divisors is an integer number (1645559856000).

Almost surely, 2^{100201112212200} is an apocalyptic number.

100201112212200 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 100201112212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157973746176000).

100201112212200 is an abundant number, since it is smaller than the sum of its proper divisors (215746380139800).

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

100201112212200 is a wasteful number, since it uses less digits than its factorization.

100201112212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530904 (or 530895 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100201112212200 its reverse (2212211102001), we get a palindrome (102413323314201).

The spelling of 100201112212200 in words is "one hundred trillion, two hundred one billion, one hundred twelve million, two hundred twelve thousand, two hundred".