10001111100200 has 96 divisors (see below), whose sum is σ = 26469343978560. Its totient is φ = 3478647321600.

The previous prime is 10001111100179. The next prime is 10001111100247. The reversal of 10001111100200 is 200111110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98774609 + ... + 98875808.

It is an arithmetic number, because the mean of its divisors is an integer number (275722333110).

Almost surely, 2^{10001111100200} is an apocalyptic number.

10001111100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001111100200 is an abundant number, since it is smaller than the sum of its proper divisors (16468232878360).

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

10001111100200 is a wasteful number, since it uses less digits than its factorization.

10001111100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197650467 (or 197650458 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001111100200 its reverse (200111110001), we get a palindrome (10201222210201).

It can be divided in two parts, 100011 and 11100200, that added together give a palindrome (11200211).

The spelling of 10001111100200 in words is "ten trillion, one billion, one hundred eleven million, one hundred thousand, two hundred".