101220330200 has 192 divisors, whose sum is σ = 277551878400. Its totient is φ = 33927206400.

The previous prime is 101220330191. The next prime is 101220330221. The reversal of 101220330200 is 2033022101.

It is a happy number.

101220330200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1513877 + ... + 1579323.

It is an arithmetic number, because the mean of its divisors is an integer number (1445582700).

Almost surely, 2^101220330200 is an apocalyptic number.

101220330200 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 101220330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138775939200).

101220330200 is an abundant number, since it is smaller than the sum of its proper divisors (176331548200).

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

101220330200 is a wasteful number, since it uses less digits than its factorization.

101220330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65530 (or 65521 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 101220330200 its reverse (2033022101), we get a palindrome (103253352301).

The spelling of 101220330200 in words is "one hundred one billion, two hundred twenty million, three hundred thirty thousand, two hundred".