100314102420 has 576 divisors, whose sum is σ = 370319040000. Its totient is φ = 21944272896.

The previous prime is 100314102349. The next prime is 100314102431. The reversal of 100314102420 is 24201413001.

100314102420 is a `hidden beast` number, since 10 + 0 + 3 + 1 + 410 + 242 + 0 = 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 = 100314102393 and 100314102402.

It is a congruent number.

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, 320492184 + ... + 320492496.

It is an arithmetic number, because the mean of its divisors is an integer number (642915000).

Almost surely, 2^100314102420 is an apocalyptic number.

100314102420 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 100314102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185159520000).

100314102420 is an abundant number, since it is smaller than the sum of its proper divisors (270004937580).

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

100314102420 is a wasteful number, since it uses less digits than its factorization.

100314102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 538 counting only the distinct ones).

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

Adding to 100314102420 its reverse (24201413001), we get a palindrome (124515515421).

The spelling of 100314102420 in words is "one hundred billion, three hundred fourteen million, one hundred two thousand, four hundred twenty".