101441330010 has 96 divisors (see below), whose sum is σ = 266688294912. Its totient is φ = 26750787840.

The previous prime is 101441329949. The next prime is 101441330059. The reversal of 101441330010 is 10033144101.

101441330010 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 (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3540462 + ... + 3568998.

It is an arithmetic number, because the mean of its divisors is an integer number (2778003072).

Almost surely, 2^101441330010 is an apocalyptic number.

101441330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101441330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133344147456).

101441330010 is an abundant number, since it is smaller than the sum of its proper divisors (165246964902).

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

101441330010 is a wasteful number, since it uses less digits than its factorization.

101441330010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28988 (or 28985 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101441330010 its reverse (10033144101), we get a palindrome (111474474111).

The spelling of 101441330010 in words is "one hundred one billion, four hundred forty-one million, three hundred thirty thousand, ten".