101031100144 has 80 divisors (see below), whose sum is σ = 221373456192. Its totient is φ = 44317937664.

The previous prime is 101031100141. The next prime is 101031100151. The reversal of 101031100144 is 441001130101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031100141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683832 + ... + 818344.

Almost surely, 2^101031100144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101031100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110686728096).

101031100144 is an abundant number, since it is smaller than the sum of its proper divisors (120342356048).

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

101031100144 is a wasteful number, since it uses less digits than its factorization.

101031100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134714 (or 134708 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101031100144 its reverse (441001130101), we get a palindrome (542032230245).

The spelling of 101031100144 in words is "one hundred one billion, thirty-one million, one hundred thousand, one hundred forty-four".