10201442101000 has 64 divisors (see below), whose sum is σ = 24453603261360. Its totient is φ = 3981050560000.

The previous prime is 10201442100943. The next prime is 10201442101001. The reversal of 10201442101000 is 10124410201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1399171973956 + 8802270127044 = 1182866^2 + 2966862^2 .

It is not an unprimeable number, because it can be changed into a prime (10201442101001) 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 15 ways as a sum of consecutive naturals, for example, 124366831 + ... + 124448830.

Almost surely, 2^{10201442101000} is an apocalyptic number.

10201442101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201442101000 is an abundant number, since it is smaller than the sum of its proper divisors (14252161160360).

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

10201442101000 is a wasteful number, since it uses less digits than its factorization.

10201442101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248815723 (or 248815709 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10201442101000 its reverse (10124410201), we get a palindrome (10211566511201).

The spelling of 10201442101000 in words is "ten trillion, two hundred one billion, four hundred forty-two million, one hundred one thousand".