10122012200200 has 48 divisors (see below), whose sum is σ = 23545289411280. Its totient is φ = 4046807280960.

The previous prime is 10122012200129. The next prime is 10122012200233. The reversal of 10122012200200 is 200221022101.

It is a happy 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, 12078582 + ... + 12889381.

It is an arithmetic number, because the mean of its divisors is an integer number (490526862735).

Almost surely, 2^{10122012200200} is an apocalyptic number.

10122012200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122012200200 is an abundant number, since it is smaller than the sum of its proper divisors (13423277211080).

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

10122012200200 is a wasteful number, since it uses less digits than its factorization.

10122012200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24970006 (or 24969997 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10122012200200 its reverse (200221022101), we get a palindrome (10322233222301).

The spelling of 10122012200200 in words is "ten trillion, one hundred twenty-two billion, twelve million, two hundred thousand, two hundred".