102143102513024 has 128 divisors (see below), whose sum is σ = 215602684416000. Its totient is φ = 48104451293184.

The previous prime is 102143102513021. The next prime is 102143102513063. The reversal of 102143102513024 is 420315201341201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×102143102513024² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102143102513021) 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, 55929329 + ... + 57726735.

It is an arithmetic number, because the mean of its divisors is an integer number (1684395972000).

Almost surely, 2^{102143102513024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102143102513024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107801342208000).

102143102513024 is an abundant number, since it is smaller than the sum of its proper divisors (113459581902976).

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

102143102513024 is a wasteful number, since it uses less digits than its factorization.

102143102513024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797740 (or 1797728 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 102143102513024 its reverse (420315201341201), we get a palindrome (522458303854225).

The spelling of 102143102513024 in words is "one hundred two trillion, one hundred forty-three billion, one hundred two million, five hundred thirteen thousand, twenty-four".