102242421031410 has 288 divisors, whose sum is σ = 297170029119600. Its totient is φ = 24364416384000.

The previous prime is 102242421031369. The next prime is 102242421031411. The reversal of 102242421031410 is 14130124242201.

102242421031410 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 4 + 2 + 4 + 210 + 31 + 410 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12850482749049 + 89391938282361 = 3584757^2 + 9454731^2 .

It is not an unprimeable number, because it can be changed into a prime (102242421031411) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1076766616 + ... + 1076861564.

Almost surely, 2^{102242421031410} is an apocalyptic number.

102242421031410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102242421031410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148585014559800).

102242421031410 is an abundant number, since it is smaller than the sum of its proper divisors (194927608088190).

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

102242421031410 is a wasteful number, since it uses less digits than its factorization.

102242421031410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96666 (or 96652 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102242421031410 its reverse (14130124242201), we get a palindrome (116372545273611).

The spelling of 102242421031410 in words is "one hundred two trillion, two hundred forty-two billion, four hundred twenty-one million, thirty-one thousand, four hundred ten".