100200340144100 has 216 divisors, whose sum is σ = 266091031584000. Its totient is φ = 32607565589760.

The previous prime is 100200340144063. The next prime is 100200340144109. The reversal of 100200340144100 is 1441043002001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100200340144109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2408141 + ... + 14359659.

It is an arithmetic number, because the mean of its divisors is an integer number (1231902924000).

Almost surely, 2^{100200340144100} is an apocalyptic number.

100200340144100 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 100200340144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133045515792000).

100200340144100 is an abundant number, since it is smaller than the sum of its proper divisors (165890691439900).

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

100200340144100 is a wasteful number, since it uses less digits than its factorization.

100200340144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11951635 (or 11951621 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100200340144100 its reverse (1441043002001), we get a palindrome (101641383146101).

The spelling of 100200340144100 in words is "one hundred trillion, two hundred billion, three hundred forty million, one hundred forty-four thousand, one hundred".