100102324140 has 576 divisors, whose sum is σ = 385746816000. Its totient is φ = 20446525440.

The previous prime is 100102324129. The next prime is 100102324151. The reversal of 100102324140 is 41423201001.

100102324140 is a `hidden beast` number, since 10 + 0 + 10 + 232 + 414 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100102324129) and next prime (100102324151).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 200605611 + ... + 200606109.

Almost surely, 2^100102324140 is an apocalyptic number.

100102324140 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 100102324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192873408000).

100102324140 is an abundant number, since it is smaller than the sum of its proper divisors (285644491860).

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

100102324140 is a wasteful number, since it uses less digits than its factorization.

100102324140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100102324140 its reverse (41423201001), we get a palindrome (141525525141).

The spelling of 100102324140 in words is "one hundred billion, one hundred two million, three hundred twenty-four thousand, one hundred forty".