101330311123200 has 216 divisors, whose sum is σ = 334436430386016. Its totient is φ = 27019372544000.

The previous prime is 101330311123159. The next prime is 101330311123247. The reversal of 101330311123200 is 2321113033101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262674460 + ... + 263059940.

Almost surely, 2^{101330311123200} is an apocalyptic number.

101330311123200 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 101330311123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167218215193008).

101330311123200 is an abundant number, since it is smaller than the sum of its proper divisors (233106119262816).

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

101330311123200 is a wasteful number, since it uses less digits than its factorization.

101330311123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399201 (or 399182 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101330311123200 its reverse (2321113033101), we get a palindrome (103651424156301).

The spelling of 101330311123200 in words is "one hundred one trillion, three hundred thirty billion, three hundred eleven million, one hundred twenty-three thousand, two hundred".