10666072120200 has 192 divisors, whose sum is σ = 38060230656000. Its totient is φ = 2420419933440.

The previous prime is 10666072120189. The next prime is 10666072120201. The reversal of 10666072120200 is 202127066601.

It is a super-2 number, since 2×10666072120200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10666072120201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8551240 + ... + 9718839.

It is an arithmetic number, because the mean of its divisors is an integer number (198230368000).

Almost surely, 2^{10666072120200} is an apocalyptic number.

10666072120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10666072120200 is an abundant number, since it is smaller than the sum of its proper divisors (27394158535800).

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

10666072120200 is a wasteful number, since it uses less digits than its factorization.

10666072120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270244 (or 18270235 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 10666072120200 its reverse (202127066601), we get a palindrome (10868199186801).

The spelling of 10666072120200 in words is "ten trillion, six hundred sixty-six billion, seventy-two million, one hundred twenty thousand, two hundred".