102144323311120 has 40 divisors (see below), whose sum is σ = 238531743598464. Its totient is φ = 40677739320192.

The previous prime is 102144323311099. The next prime is 102144323311123. The reversal of 102144323311120 is 21113323441201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×102144323311120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102144323311123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2812325544 + ... + 2812361863.

Almost surely, 2^{102144323311120} is an apocalyptic number.

102144323311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102144323311120 is an abundant number, since it is smaller than the sum of its proper divisors (136387420287344).

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

102144323311120 is a wasteful number, since it uses less digits than its factorization.

102144323311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624687647 (or 5624687641 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 102144323311120 its reverse (21113323441201), we get a palindrome (123257646752321).

The spelling of 102144323311120 in words is "one hundred two trillion, one hundred forty-four billion, three hundred twenty-three million, three hundred eleven thousand, one hundred twenty".