100342204200 has 288 divisors, whose sum is σ = 407778096960. Its totient is φ = 21586176000.

The previous prime is 100342204189. The next prime is 100342204211. The reversal of 100342204200 is 2402243001.

100342204200 is a `hidden beast` number, since 100 + 342 + 20 + 4 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (100342204189) and next prime (100342204211).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 20026 + ... + 448425.

It is an arithmetic number, because the mean of its divisors is an integer number (1415896170).

Almost surely, 2^100342204200 is an apocalyptic number.

100342204200 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 100342204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203889048480).

100342204200 is an abundant number, since it is smaller than the sum of its proper divisors (307435892760).

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

100342204200 is a wasteful number, since it uses less digits than its factorization.

100342204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468497 (or 468485 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 100342204200 its reverse (2402243001), we get a palindrome (102744447201).

The spelling of 100342204200 in words is "one hundred billion, three hundred forty-two million, two hundred four thousand, two hundred".