101144031032 has 128 divisors (see below), whose sum is σ = 218769984000. Its totient is φ = 43409533440.

The previous prime is 101144031031. The next prime is 101144031071. The reversal of 101144031032 is 230130441101.

It is a junction number, because it is equal to n+sod(n) for n = 101144030995 and 101144031013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144031031) 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, 48555863 + ... + 48557945.

It is an arithmetic number, because the mean of its divisors is an integer number (1709140500).

Almost surely, 2^101144031032 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 101144031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109384992000).

101144031032 is an abundant number, since it is smaller than the sum of its proper divisors (117625952968).

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

101144031032 is a wasteful number, since it uses less digits than its factorization.

101144031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101144031032 its reverse (230130441101), we get a palindrome (331274472133).

The spelling of 101144031032 in words is "one hundred one billion, one hundred forty-four million, thirty-one thousand, thirty-two".