100021114311200 has 144 divisors (see below), whose sum is σ = 247183035898176. Its totient is φ = 39516082867200.

The previous prime is 100021114311199. The next prime is 100021114311227. The reversal of 100021114311200 is 2113411120001.

100021114311200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256308230 + ... + 256698170.

It is an arithmetic number, because the mean of its divisors is an integer number (1716548860404).

Almost surely, 2^{100021114311200} is an apocalyptic number.

100021114311200 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 100021114311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123591517949088).

100021114311200 is an abundant number, since it is smaller than the sum of its proper divisors (147161921586976).

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

100021114311200 is a wasteful number, since it uses less digits than its factorization.

100021114311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393907 (or 393894 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100021114311200 its reverse (2113411120001), we get a palindrome (102134525431201).

The spelling of 100021114311200 in words is "one hundred trillion, twenty-one billion, one hundred fourteen million, three hundred eleven thousand, two hundred".