1010010144 has 384 divisors, whose sum is σ = 3353011200. Its totient is φ = 261918720.

The previous prime is 1010010143. The next prime is 1010010149. The reversal of 1010010144 is 4410100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1010010143) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17118787 + ... + 17118845.

It is an arithmetic number, because the mean of its divisors is an integer number (8731800).

Almost surely, 2^1010010144 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 1010010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676505600).

1010010144 is an abundant number, since it is smaller than the sum of its proper divisors (2343001056).

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

1010010144 is a wasteful number, since it uses less digits than its factorization.

1010010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1010010144 is about 31780.6567584750. The cubic root of 1010010144 is about 1003.3256425082.

Adding to 1010010144 its reverse (4410100101), we get a palindrome (5420110245).

It can be divided in two parts, 10100101 and 44, that multiplied together give a palindrome (444404444).

The spelling of 1010010144 in words is "one billion, ten million, ten thousand, one hundred forty-four".