101322120003200 has 96 divisors (see below), whose sum is σ = 250329904557120. Its totient is φ = 40523568512000.

The previous prime is 101322120003199. The next prime is 101322120003239. The reversal of 101322120003200 is 2300021223101.

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 11 ways as a sum of consecutive naturals, for example, 22552745 + ... + 26669655.

It is an arithmetic number, because the mean of its divisors is an integer number (2607603172470).

Almost surely, 2^{101322120003200} is an apocalyptic number.

101322120003200 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 101322120003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125164952278560).

101322120003200 is an abundant number, since it is smaller than the sum of its proper divisors (149007784553920).

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

101322120003200 is an equidigital number, since it uses as much as digits as its factorization.

101322120003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124626 (or 4124609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 101322120003200 its reverse (2300021223101), we get a palindrome (103622141226301).

The spelling of 101322120003200 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred twenty million, three thousand, two hundred".