10201444032012 has 96 divisors (see below), whose sum is σ = 25139571475200. Its totient is φ = 3210793592832.

The previous prime is 10201444032011. The next prime is 10201444032041. The reversal of 10201444032012 is 21023044410201.

It is not an unprimeable number, because it can be changed into a prime (10201444032011) 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, 227642664 + ... + 227687472.

It is an arithmetic number, because the mean of its divisors is an integer number (261870536200).

Almost surely, 2^{10201444032012} is an apocalyptic number.

10201444032012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201444032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12569785737600).

10201444032012 is an abundant number, since it is smaller than the sum of its proper divisors (14938127443188).

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

10201444032012 is a wasteful number, since it uses less digits than its factorization.

10201444032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48135 (or 48133 counting only the distinct ones).

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

Adding to 10201444032012 its reverse (21023044410201), we get a palindrome (31224488442213).

The spelling of 10201444032012 in words is "ten trillion, two hundred one billion, four hundred forty-four million, thirty-two thousand, twelve".