101303303200 has 288 divisors, whose sum is σ = 288259050240. Its totient is φ = 34374067200.

The previous prime is 101303303197. The next prime is 101303303203. The reversal of 101303303200 is 2303303101.

It is an interprime number because it is at equal distance from previous prime (101303303197) and next prime (101303303203).

It is a super-2 number, since 2×101303303200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101303303203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11197879 + ... + 11206921.

It is an arithmetic number, because the mean of its divisors is an integer number (1000899480).

Almost surely, 2^101303303200 is an apocalyptic number.

101303303200 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 101303303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144129525120).

101303303200 is an abundant number, since it is smaller than the sum of its proper divisors (186955747040).

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

101303303200 is a wasteful number, since it uses less digits than its factorization.

101303303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 101303303200 its reverse (2303303101), we get a palindrome (103606606301).

Subtracting from 101303303200 its reverse (2303303101), we obtain a palindrome (99000000099).

The spelling of 101303303200 in words is "one hundred one billion, three hundred three million, three hundred three thousand, two hundred".