101320330100 has 108 divisors (see below), whose sum is σ = 248202637452. Its totient is φ = 35847820800.

The previous prime is 101320330093. The next prime is 101320330109. The reversal of 101320330100 is 1033023101.

It can be written as a sum of positive squares in 6 ways, for example, as 525509776 + 100794820324 = 22924^2 + 317482^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320330109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 334544 + ... + 560856.

It is an arithmetic number, because the mean of its divisors is an integer number (2298172569).

Almost surely, 2^101320330100 is an apocalyptic number.

101320330100 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 101320330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124101318726).

101320330100 is an abundant number, since it is smaller than the sum of its proper divisors (146882307352).

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

101320330100 is a wasteful number, since it uses less digits than its factorization.

101320330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226386 (or 226368 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 101320330100 its reverse (1033023101), we get a palindrome (102353353201).

The spelling of 101320330100 in words is "one hundred one billion, three hundred twenty million, three hundred thirty thousand, one hundred".