102531024241152 has 160 divisors (see below), whose sum is σ = 294269184316800. Its totient is φ = 31536353771520.

The previous prime is 102531024241147. The next prime is 102531024241193. The reversal of 102531024241152 is 251142420135201.

It is a super-2 number, since 2×102531024241152² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53186224 + ... + 55080272.

It is an arithmetic number, because the mean of its divisors is an integer number (1839182401980).

Almost surely, 2^{102531024241152} is an apocalyptic number.

102531024241152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102531024241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147134592158400).

102531024241152 is an abundant number, since it is smaller than the sum of its proper divisors (191738160075648).

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

102531024241152 is a wasteful number, since it uses less digits than its factorization.

102531024241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896794 (or 1896778 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 102531024241152 its reverse (251142420135201), we get a palindrome (353673444376353).

The spelling of 102531024241152 in words is "one hundred two trillion, five hundred thirty-one billion, twenty-four million, two hundred forty-one thousand, one hundred fifty-two".