100012110221200 has 480 divisors, whose sum is σ = 260333048729600. Its totient is φ = 36800386560000.

The previous prime is 100012110221197. The next prime is 100012110221207. The reversal of 100012110221200 is 2122011210001.

It is not an unprimeable number, because it can be changed into a prime (100012110221207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53226241861 + ... + 53226243739.

Almost surely, 2^{100012110221200} is an apocalyptic number.

100012110221200 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 100012110221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130166524364800).

100012110221200 is an abundant number, since it is smaller than the sum of its proper divisors (160320938508400).

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

100012110221200 is a wasteful number, since it uses less digits than its factorization.

100012110221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100012110221200 its reverse (2122011210001), we get a palindrome (102134121431201).

The spelling of 100012110221200 in words is "one hundred trillion, twelve billion, one hundred ten million, two hundred twenty-one thousand, two hundred".