101303321122200 has 192 divisors, whose sum is σ = 320199785544960. Its totient is φ = 26485116536320.

The previous prime is 101303321121973. The next prime is 101303321122247. The reversal of 101303321122200 is 2221123303101.

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 47 ways as a sum of consecutive naturals, for example, 42305407 + ... + 44635793.

It is an arithmetic number, because the mean of its divisors is an integer number (1667707216380).

Almost surely, 2^{101303321122200} is an apocalyptic number.

101303321122200 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 101303321122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160099892772480).

101303321122200 is an abundant number, since it is smaller than the sum of its proper divisors (218896464422760).

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

101303321122200 is a wasteful number, since it uses less digits than its factorization.

101303321122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331826 (or 2331817 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101303321122200 its reverse (2221123303101), we get a palindrome (103524444425301).

The spelling of 101303321122200 in words is "one hundred one trillion, three hundred three billion, three hundred twenty-one million, one hundred twenty-two thousand, two hundred".