102102240240 has 480 divisors, whose sum is σ = 460391533056. Its totient is φ = 19583907840.

The previous prime is 102102240217. The next prime is 102102240241. The reversal of 102102240240 is 42042201201.

102102240240 is a `hidden beast` number, since 10 + 210 + 2 + 2 + 402 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102240241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 649887 + ... + 791553.

Almost surely, 2^102102240240 is an apocalyptic number.

102102240240 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 102102240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230195766528).

102102240240 is an abundant number, since it is smaller than the sum of its proper divisors (358289292816).

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

102102240240 is a wasteful number, since it uses less digits than its factorization.

102102240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141717 (or 141708 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102102240240 its reverse (42042201201), we get a palindrome (144144441441).

The spelling of 102102240240 in words is "one hundred two billion, one hundred two million, two hundred forty thousand, two hundred forty".