102541112301040 has 240 divisors, whose sum is σ = 285061707883008. Its totient is φ = 33600774265344.

The previous prime is 102541112301013. The next prime is 102541112301041. The reversal of 102541112301040 is 40103211145201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102541112300996 and 102541112301014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102541112301041) 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, 362160007 + ... + 362443033.

Almost surely, 2^{102541112301040} is an apocalyptic number.

102541112301040 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 102541112301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142530853941504).

102541112301040 is an abundant number, since it is smaller than the sum of its proper divisors (182520595581968).

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

102541112301040 is a wasteful number, since it uses less digits than its factorization.

102541112301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284316 (or 284287 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 102541112301040 its reverse (40103211145201), we get a palindrome (142644323446241).

The spelling of 102541112301040 in words is "one hundred two trillion, five hundred forty-one billion, one hundred twelve million, three hundred one thousand, forty".