100200011220000 has 180 divisors, whose sum is σ = 356065750510470. Its totient is φ = 26720002944000.

The previous prime is 100200011219999. The next prime is 100200011220013. The reversal of 100200011220000 is 22110002001.

It can be written as a sum of positive squares in 5 ways, for example, as 1614414195216 + 98585597024784 = 1270596^2 + 9929028^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 29 ways as a sum of consecutive naturals, for example, 278153365 + ... + 278513364.

Almost surely, 2^{100200011220000} is an apocalyptic number.

100200011220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200011220000 is an abundant number, since it is smaller than the sum of its proper divisors (255865739290470).

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

100200011220000 is an equidigital number, since it uses as much as digits as its factorization.

100200011220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556666765 (or 556666739 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100200011220000 its reverse (22110002001), we get a palindrome (100222121222001).

The spelling of 100200011220000 in words is "one hundred trillion, two hundred billion, eleven million, two hundred twenty thousand".