100012213201200 has 720 divisors, whose sum is σ = 346971531686400. Its totient is φ = 24556483584000.

The previous prime is 100012213201183. The next prime is 100012213201279. The reversal of 100012213201200 is 2102312210001.

100012213201200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 100012213201200.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10386557986 + ... + 10386567614.

It is an arithmetic number, because the mean of its divisors is an integer number (481904905120).

Almost surely, 2^{100012213201200} is an apocalyptic number.

100012213201200 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 100012213201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173485765843200).

100012213201200 is an abundant number, since it is smaller than the sum of its proper divisors (246959318485200).

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

100012213201200 is a wasteful number, since it uses less digits than its factorization.

100012213201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100012213201200 its reverse (2102312210001), we get a palindrome (102114525411201).

The spelling of 100012213201200 in words is "one hundred trillion, twelve billion, two hundred thirteen million, two hundred one thousand, two hundred".