102242104004040 has 1536 divisors, whose sum is σ = 423224551895040. Its totient is φ = 19077650841600.

The previous prime is 102242104004021. The next prime is 102242104004057. The reversal of 102242104004040 is 40400401242201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102242104004040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68942753139 + ... + 68942754621.

It is an arithmetic number, because the mean of its divisors is an integer number (275536817640).

Almost surely, 2^{102242104004040} is an apocalyptic number.

102242104004040 is a gapful number since it is divisible by the number (10) 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 102242104004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211612275947520).

102242104004040 is an abundant number, since it is smaller than the sum of its proper divisors (320982447891000).

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

102242104004040 is a wasteful number, since it uses less digits than its factorization.

102242104004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 102242104004040 its reverse (40400401242201), we get a palindrome (142642505246241).

The spelling of 102242104004040 in words is "one hundred two trillion, two hundred forty-two billion, one hundred four million, four thousand, forty".