101220303330 has 96 divisors (see below), whose sum is σ = 279145666800. Its totient is φ = 25359446016.

The previous prime is 101220303329. The next prime is 101220303397. The reversal of 101220303330 is 33303022101.

101220303330 is a `hidden beast` number, since 1 + 0 + 12 + 20 + 303 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 65898483849 + 35321819481 = 256707^2 + 187941^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 812436 + ... + 928704.

Almost surely, 2^101220303330 is an apocalyptic number.

101220303330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220303330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139572833400).

101220303330 is an abundant number, since it is smaller than the sum of its proper divisors (177925363470).

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

101220303330 is a wasteful number, since it uses less digits than its factorization.

101220303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116868 (or 116865 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 101220303330 its reverse (33303022101), we get a palindrome (134523325431).

It can be divided in two parts, 101220 and 303330, that added together give a triangular number (404550 = T₈₉₉).

The spelling of 101220303330 in words is "one hundred one billion, two hundred twenty million, three hundred three thousand, three hundred thirty".