101032144224 has 48 divisors (see below), whose sum is σ = 289319325120. Its totient is φ = 30615800960.

The previous prime is 101032144223. The next prime is 101032144261. The reversal of 101032144224 is 422441230101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101032144194 and 101032144203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032144223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47836134 + ... + 47838245.

It is an arithmetic number, because the mean of its divisors is an integer number (6027485940).

Almost surely, 2^101032144224 is an apocalyptic number.

It is an amenable number.

101032144224 is an abundant number, since it is smaller than the sum of its proper divisors (188287180896).

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

101032144224 is a wasteful number, since it uses less digits than its factorization.

101032144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95674403 (or 95674395 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101032144224 its reverse (422441230101), we get a palindrome (523473374325).

The spelling of 101032144224 in words is "one hundred one billion, thirty-two million, one hundred forty-four thousand, two hundred twenty-four".