100010200010000 has 150 divisors (see below), whose sum is σ = 281666891766150. Its totient is φ = 34289211264000.

The previous prime is 100010200009981. The next prime is 100010200010041. The reversal of 100010200010000 is 10002010001.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 17453277554944 + 82556922455056 = 4177712^2 + 9086084^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 101561225 + ... + 102541224.

It is an arithmetic number, because the mean of its divisors is an integer number (1877779278441).

Almost surely, 2^{100010200010000} is an apocalyptic number.

100010200010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010200010000 is an abundant number, since it is smaller than the sum of its proper divisors (181656691756150).

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

100010200010000 is an equidigital number, since it uses as much as digits as its factorization.

100010200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204102491 (or 204102463 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100010200010000 its reverse (10002010001), we get a palindrome (100020202020001).

The spelling of 100010200010000 in words is "one hundred trillion, ten billion, two hundred million, ten thousand".