102241402241232 has 160 divisors (see below), whose sum is σ = 270811026984960. Its totient is φ = 33223356951040.

The previous prime is 102241402241203. The next prime is 102241402241239. The reversal of 102241402241232 is 232142204142201.

It is a self number, because there is not a number n which added to its sum of digits gives 102241402241232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102241402241239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6353941507 + ... + 6353957597.

It is an arithmetic number, because the mean of its divisors is an integer number (1692568918656).

Almost surely, 2^{102241402241232} is an apocalyptic number.

102241402241232 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 102241402241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135405513492480).

102241402241232 is an abundant number, since it is smaller than the sum of its proper divisors (168569624743728).

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

102241402241232 is a wasteful number, since it uses less digits than its factorization.

102241402241232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27121 (or 27115 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 102241402241232 its reverse (232142204142201), we get a palindrome (334383606383433).

The spelling of 102241402241232 in words is "one hundred two trillion, two hundred forty-one billion, four hundred two million, two hundred forty-one thousand, two hundred thirty-two".