101303000220 has 96 divisors (see below), whose sum is σ = 288902315520. Its totient is φ = 26517093120.

The previous prime is 101303000191. The next prime is 101303000269. The reversal of 101303000220 is 22000303101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101303000196 and 101303000205.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 923619 + ... + 1027461.

It is an arithmetic number, because the mean of its divisors is an integer number (3009399120).

Almost surely, 2^101303000220 is an apocalyptic number.

101303000220 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 101303000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144451157760).

101303000220 is an abundant number, since it is smaller than the sum of its proper divisors (187599315300).

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

101303000220 is a wasteful number, since it uses less digits than its factorization.

101303000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104155 (or 104153 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 101303000220 its reverse (22000303101), we get a palindrome (123303303321).

The spelling of 101303000220 in words is "one hundred one billion, three hundred three million, two hundred twenty", and thus it is an aban number.