102000331122144 has 288 divisors, whose sum is σ = 335519444889216. Its totient is φ = 26893544832000.

The previous prime is 102000331122143. The next prime is 102000331122149. The reversal of 102000331122144 is 441221133000201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000331122143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216671019 + ... + 217141269.

It is an arithmetic number, because the mean of its divisors is an integer number (1164998072532).

Almost surely, 2^{102000331122144} is an apocalyptic number.

102000331122144 is a gapful number since it is divisible by the number (14) 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 102000331122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167759722444608).

102000331122144 is an abundant number, since it is smaller than the sum of its proper divisors (233519113767072).

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

102000331122144 is a wasteful number, since it uses less digits than its factorization.

102000331122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473838 (or 473823 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102000331122144 its reverse (441221133000201), we get a palindrome (543221464122345).

The spelling of 102000331122144 in words is "one hundred two trillion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred forty-four".