10101112211200 has 108 divisors (see below), whose sum is σ = 26317717181560. Its totient is φ = 3827789844480.

The previous prime is 10101112211189. The next prime is 10101112211237. The reversal of 10101112211200 is 211221110101.

It is a happy number.

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, 41412579 + ... + 41655778.

Almost surely, 2^{10101112211200} is an apocalyptic number.

10101112211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101112211200 is an abundant number, since it is smaller than the sum of its proper divisors (16216604970360).

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

10101112211200 is an equidigital number, since it uses as much as digits as its factorization.

10101112211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83068402 (or 83068383 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10101112211200 its reverse (211221110101), we get a palindrome (10312333321301).

The spelling of 10101112211200 in words is "ten trillion, one hundred one billion, one hundred twelve million, two hundred eleven thousand, two hundred".