102144400010 has 64 divisors (see below), whose sum is σ = 198804326400. Its totient is φ = 37670045952.

The previous prime is 102144399997. The next prime is 102144400037. The reversal of 102144400010 is 10004441201.

102144400010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 4036076 + ... + 4061304.

It is an arithmetic number, because the mean of its divisors is an integer number (3106317600).

Almost surely, 2^102144400010 is an apocalyptic number.

102144400010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102144400010 is a deficient number, since it is larger than the sum of its proper divisors (96659926390).

102144400010 is a wasteful number, since it uses less digits than its factorization.

102144400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25895.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102144400010 its reverse (10004441201), we get a palindrome (112148841211).

The spelling of 102144400010 in words is "one hundred two billion, one hundred forty-four million, four hundred thousand, ten".