102144000441201 has 16 divisors (see below), whose sum is σ = 139877931840768. Its totient is φ = 66253167993600.

The previous prime is 102144000441149. The next prime is 102144000441209.

102144000441201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102144000441201 - 2⁶ = 102144000441137 is a prime.

It is a super-2 number, since 2×102144000441201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102144000441209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13584840 + ... + 19718921.

It is an arithmetic number, because the mean of its divisors is an integer number (8742370740048).

Almost surely, 2^{102144000441201} is an apocalyptic number.

It is an amenable number.

102144000441201 is a deficient number, since it is larger than the sum of its proper divisors (37733931399567).

102144000441201 is a wasteful number, since it uses less digits than its factorization.

102144000441201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33331432.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 102144000 and 441201, that added together give a palindrome (102585201).

The spelling of 102144000441201 in words is "one hundred two trillion, one hundred forty-four billion, four hundred forty-one thousand, two hundred one".