101041331020 has 72 divisors (see below), whose sum is σ = 247549980384. Its totient is φ = 34642626816.

The previous prime is 101041331011. The next prime is 101041331021. The reversal of 101041331020 is 20133140101.

It is a junction number, because it is equal to n+sod(n) for n = 101041330985 and 101041331003.

It is not an unprimeable number, because it can be changed into a prime (101041331021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 185844 + ... + 486436.

It is an arithmetic number, because the mean of its divisors is an integer number (3438194172).

Almost surely, 2^101041331020 is an apocalyptic number.

101041331020 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 101041331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123774990192).

101041331020 is an abundant number, since it is smaller than the sum of its proper divisors (146508649364).

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

101041331020 is an frugal number, since it uses more digits than its factorization.

101041331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300637 (or 300607 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101041331020 its reverse (20133140101), we get a palindrome (121174471121).

The spelling of 101041331020 in words is "one hundred one billion, forty-one million, three hundred thirty-one thousand, twenty".