100050206300100 has 405 divisors, whose sum is σ = 377297740131543. Its totient is φ = 22867178221440.

The previous prime is 100050206300071. The next prime is 100050206300117. The reversal of 100050206300100 is 1003602050001.

The square root of 100050206300100 is 10002510.

It is a perfect power (a square), and thus also a powerful number.

100050206300100 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 0 + 20 + 630 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34500845082564 + 65549361217536 = 5873742^2 + 8096256^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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 (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6301573362 + ... + 6301589238.

Almost surely, 2^{100050206300100} is an apocalyptic number.

100050206300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100050206300100 is the 10002510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100050206300100

100050206300100 is an abundant number, since it is smaller than the sum of its proper divisors (277247533831443).

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

100050206300100 is an frugal number, since it uses more digits than its factorization.

100050206300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31794 (or 15894 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 100050206300100 its reverse (1003602050001), we get a palindrome (101053808350101).

The spelling of 100050206300100 in words is "one hundred trillion, fifty billion, two hundred six million, three hundred thousand, one hundred".