100111203223200 has 576 divisors, whose sum is σ = 390069852681600. Its totient is φ = 24633306316800.

The previous prime is 100111203223079. The next prime is 100111203223247. The reversal of 100111203223200 is 2322302111001.

100111203223200 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 1 + 20 + 322 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 746580160 + ... + 746714240.

It is an arithmetic number, because the mean of its divisors is an integer number (677204605350).

Almost surely, 2^{100111203223200} is an apocalyptic number.

100111203223200 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 100111203223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195034926340800).

100111203223200 is an abundant number, since it is smaller than the sum of its proper divisors (289958649458400).

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

100111203223200 is a wasteful number, since it uses less digits than its factorization.

100111203223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136782 (or 136763 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100111203223200 its reverse (2322302111001), we get a palindrome (102433505334201).

The spelling of 100111203223200 in words is "one hundred trillion, one hundred eleven billion, two hundred three million, two hundred twenty-three thousand, two hundred".