101033012320 has 192 divisors, whose sum is σ = 247452226560. Its totient is φ = 38960566272.

The previous prime is 101033012263. The next prime is 101033012321. The reversal of 101033012320 is 23210330101.

101033012320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101033012294 and 101033012303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101033012321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247024276 + ... + 247024684.

It is an arithmetic number, because the mean of its divisors is an integer number (1288813680).

Almost surely, 2^101033012320 is an apocalyptic number.

101033012320 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 101033012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123726113280).

101033012320 is an abundant number, since it is smaller than the sum of its proper divisors (146419214240).

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

101033012320 is a wasteful number, since it uses less digits than its factorization.

101033012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101033012320 its reverse (23210330101), we get a palindrome (124243342421).

The spelling of 101033012320 in words is "one hundred one billion, thirty-three million, twelve thousand, three hundred twenty".