101101303320 has 256 divisors, whose sum is σ = 323959357440. Its totient is φ = 25182187008.

The previous prime is 101101303319. The next prime is 101101303321. The reversal of 101101303320 is 23303101101.

It is an interprime number because it is at equal distance from previous prime (101101303319) and next prime (101101303321).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101101303320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101303321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106759087 + ... + 106760033.

It is an arithmetic number, because the mean of its divisors is an integer number (1265466240).

Almost surely, 2^101101303320 is an apocalyptic number.

101101303320 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 101101303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161979678720).

101101303320 is an abundant number, since it is smaller than the sum of its proper divisors (222858054120).

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

101101303320 is a wasteful number, since it uses less digits than its factorization.

101101303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101101303320 its reverse (23303101101), we get a palindrome (124404404421).

The spelling of 101101303320 in words is "one hundred one billion, one hundred one million, three hundred three thousand, three hundred twenty".