101222320030300 has 432 divisors, whose sum is σ = 266501292825600. Its totient is φ = 32681019571200.

The previous prime is 101222320030213. The next prime is 101222320030339. The reversal of 101222320030300 is 3030023222101.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 21269659321 + ... + 21269664079.

It is an arithmetic number, because the mean of its divisors is an integer number (616901140800).

Almost surely, 2^{101222320030300} is an apocalyptic number.

101222320030300 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 101222320030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133250646412800).

101222320030300 is an abundant number, since it is smaller than the sum of its proper divisors (165278972795300).

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

101222320030300 is a wasteful number, since it uses less digits than its factorization.

101222320030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 101222320030300 its reverse (3030023222101), we get a palindrome (104252343252401).

The spelling of 101222320030300 in words is "one hundred one trillion, two hundred twenty-two billion, three hundred twenty million, thirty thousand, three hundred".