10101110132200 has 96 divisors (see below), whose sum is σ = 24509611373760. Its totient is φ = 3864230092800.

The previous prime is 10101110132171. The next prime is 10101110132249. The reversal of 10101110132200 is 223101110101.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 33415735 + ... + 33716665.

It is an arithmetic number, because the mean of its divisors is an integer number (255308451810).

Almost surely, 2^{10101110132200} is an apocalyptic number.

10101110132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101110132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254805686880).

10101110132200 is an abundant number, since it is smaller than the sum of its proper divisors (14408501241560).

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

10101110132200 is a wasteful number, since it uses less digits than its factorization.

10101110132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308267 (or 308258 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10101110132200 its reverse (223101110101), we get a palindrome (10324211242301).

The spelling of 10101110132200 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred thirty-two thousand, two hundred".