10110133101200 has 180 divisors, whose sum is σ = 27699912019248. Its totient is φ = 3516567225600.

The previous prime is 10110133101163. The next prime is 10110133101203. The reversal of 10110133101200 is 210133101101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10110133101203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 155807 + ... + 4499393.

Almost surely, 2^{10110133101200} is an apocalyptic number.

10110133101200 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 10110133101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849956009624).

10110133101200 is an abundant number, since it is smaller than the sum of its proper divisors (17589778918048).

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

10110133101200 is a wasteful number, since it uses less digits than its factorization.

10110133101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343662 (or 4343628 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10110133101200 its reverse (210133101101), we get a palindrome (10320266202301).

Subtracting from 10110133101200 its reverse (210133101101), we obtain a palindrome (9900000000099).

The spelling of 10110133101200 in words is "ten trillion, one hundred ten billion, one hundred thirty-three million, one hundred one thousand, two hundred".