102240040234200 has 288 divisors, whose sum is σ = 350882941012800. Its totient is φ = 24607149177600.

The previous prime is 102240040234117. The next prime is 102240040234231. The reversal of 102240040234200 is 2432040042201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5025699 + ... + 15157101.

Almost surely, 2^{102240040234200} is an apocalyptic number.

102240040234200 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 102240040234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175441470506400).

102240040234200 is an abundant number, since it is smaller than the sum of its proper divisors (248642900778600).

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

102240040234200 is a wasteful number, since it uses less digits than its factorization.

102240040234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131583 (or 10131563 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102240040234200 its reverse (2432040042201), we get a palindrome (104672080276401).

The spelling of 102240040234200 in words is "one hundred two trillion, two hundred forty billion, forty million, two hundred thirty-four thousand, two hundred".