10011200199966 has 24 divisors (see below), whose sum is σ = 24789638590704. Its totient is φ = 2860342914240.

The previous prime is 10011200199947. The next prime is 10011200199997. The reversal of 10011200199966 is 66999100211001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39726984795 + ... + 39726985046.

It is an arithmetic number, because the mean of its divisors is an integer number (1032901607946).

Almost surely, 2^{10011200199966} is an apocalyptic number.

10011200199966 is an abundant number, since it is smaller than the sum of its proper divisors (14778438390738).

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

10011200199966 is a wasteful number, since it uses less digits than its factorization.

10011200199966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79453969856 (or 79453969853 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 10011200199966 in words is "ten trillion, eleven billion, two hundred million, one hundred ninety-nine thousand, nine hundred sixty-six".