100340430120 has 576 divisors, whose sum is σ = 390619869120. Its totient is φ = 22263994368.

The previous prime is 100340430101. The next prime is 100340430121. The reversal of 100340430120 is 21034043001.

100340430120 is a `hidden beast` number, since 1 + 0 + 0 + 340 + 4 + 301 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100340430093 and 100340430102.

It is not an unprimeable number, because it can be changed into a prime (100340430121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86276659 + ... + 86277821.

It is an arithmetic number, because the mean of its divisors is an integer number (678159495).

Almost surely, 2^100340430120 is an apocalyptic number.

100340430120 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 100340430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195309934560).

100340430120 is an abundant number, since it is smaller than the sum of its proper divisors (290279439000).

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

100340430120 is a wasteful number, since it uses less digits than its factorization.

100340430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100340430120 its reverse (21034043001), we get a palindrome (121374473121).

The spelling of 100340430120 in words is "one hundred billion, three hundred forty million, four hundred thirty thousand, one hundred twenty".