100211011200 has 288 divisors, whose sum is σ = 359660646540. Its totient is φ = 26567147520.

The previous prime is 100211011177. The next prime is 100211011289. The reversal of 100211011200 is 2110112001.

It is a happy number.

100211011200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 33436316736 + 66774694464 = 182856^2 + 258408^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4972344 + ... + 4992456.

Almost surely, 2^100211011200 is an apocalyptic number.

100211011200 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 100211011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179830323270).

100211011200 is an abundant number, since it is smaller than the sum of its proper divisors (259449635340).

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

100211011200 is a wasteful number, since it uses less digits than its factorization.

100211011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20316 (or 20296 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100211011200 its reverse (2110112001), we get a palindrome (102321123201).

The spelling of 100211011200 in words is "one hundred billion, two hundred eleven million, eleven thousand, two hundred".