101011144 has 128 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 39813120.

The previous prime is 101011129. The next prime is 101011151. The reversal of 101011144 is 441110101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041304 + ... + 1041400.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^101011144 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 101011144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

101011144 is an abundant number, since it is smaller than the sum of its proper divisors (136070456).

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

101011144 is a wasteful number, since it uses less digits than its factorization.

101011144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 101011144 is about 10050.4300405505. The cubic root of 101011144 is about 465.7180781089.

Adding to 101011144 its reverse (441110101), we get a palindrome (542121245).

The spelling of 101011144 in words is "one hundred one million, eleven thousand, one hundred forty-four".