10011151200200 has 24 divisors (see below), whose sum is σ = 23275926540930. Its totient is φ = 4004460480000.

The previous prime is 10011151200199. The next prime is 10011151200229. The reversal of 10011151200200 is 200215111001.

It can be written as a sum of positive squares in 3 ways, for example, as 9622416408004 + 388734792196 = 3102002^2 + 623486^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25027877801 + ... + 25027878200.

Almost surely, 2^{10011151200200} is an apocalyptic number.

10011151200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011151200200 is an abundant number, since it is smaller than the sum of its proper divisors (13264775340730).

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

10011151200200 is a wasteful number, since it uses less digits than its factorization.

10011151200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50055756017 (or 50055756008 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 10011151200200 its reverse (200215111001), we get a palindrome (10211366311201).

The spelling of 10011151200200 in words is "ten trillion, eleven billion, one hundred fifty-one million, two hundred thousand, two hundred".