201112401024 has 48 divisors (see below), whose sum is σ = 578721886470. Its totient is φ = 67037466624.

The previous prime is 201112401023. The next prime is 201112401043. The reversal of 201112401024 is 420104211102.

201112401024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 135842370624 + 65270030400 = 368568^2 + 255480^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 201112400988 and 201112401006.

It is not an unprimeable number, because it can be changed into a prime (201112401023) 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 5 ways as a sum of consecutive naturals, for example, 87287217 + ... + 87289520.

Almost surely, 2^201112401024 is an apocalyptic number.

201112401024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201112401024 is an abundant number, since it is smaller than the sum of its proper divisors (377609485446).

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

201112401024 is a wasteful number, since it uses less digits than its factorization.

201112401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174576757 (or 174576742 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201112401024 its reverse (420104211102), we get a palindrome (621216612126).

The spelling of 201112401024 in words is "two hundred one billion, one hundred twelve million, four hundred one thousand, twenty-four".