200201100101100 has 288 divisors, whose sum is σ = 739249934976000. Its totient is φ = 45530299584000.

The previous prime is 200201100101069. The next prime is 200201100101117. The reversal of 200201100101100 is 1101001102002.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 22853601 + ... + 30375800.

It is an arithmetic number, because the mean of its divisors is an integer number (2566840052000).

Almost surely, 2^{200201100101100} is an apocalyptic number.

200201100101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201100101100 is an abundant number, since it is smaller than the sum of its proper divisors (539048834874900).

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

200201100101100 is a wasteful number, since it uses less digits than its factorization.

200201100101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53229630 (or 53229617 counting only the distinct ones).

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

Adding to 200201100101100 its reverse (1101001102002), we get a palindrome (201302101203102).

The spelling of 200201100101100 in words is "two hundred trillion, two hundred one billion, one hundred million, one hundred one thousand, one hundred".