10402101232144 has 20 divisors (see below), whose sum is σ = 20849039108460. Its totient is φ = 5021704042880.

The previous prime is 10402101232129. The next prime is 10402101232153. The reversal of 10402101232144 is 44123210120401.

It can be written as a sum of positive squares in 2 ways, for example, as 4370558185744 + 6031543046400 = 2090588^2 + 2455920^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11209160347 + ... + 11209161274.

It is an arithmetic number, because the mean of its divisors is an integer number (1042451955423).

Almost surely, 2^{10402101232144} is an apocalyptic number.

It is an amenable number.

10402101232144 is an abundant number, since it is smaller than the sum of its proper divisors (10446937876316).

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

10402101232144 is a wasteful number, since it uses less digits than its factorization.

10402101232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22418321658 (or 22418321652 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10402101232144 its reverse (44123210120401), we get a palindrome (54525311352545).

The spelling of 10402101232144 in words is "ten trillion, four hundred two billion, one hundred one million, two hundred thirty-two thousand, one hundred forty-four".