1000020000100 has 81 divisors (see below), whose sum is σ = 2385516720153. Its totient is φ = 363603636000.

The previous prime is 1000020000013. The next prime is 1000020000131. The reversal of 1000020000100 is 10000200001.

The square root of 1000020000100 is 1000010.

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

It can be written as a sum of positive squares in only one way, i.e., 360007200036 + 640012800064 = 600006^2 + 800008^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000020000100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109996555 + ... + 110005645.

Almost surely, 2^{1000020000100} is an apocalyptic number.

1000020000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000020000100 is the 1000010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000020000100

1000020000100 is an abundant number, since it is smaller than the sum of its proper divisors (1385496720053).

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

1000020000100 is an frugal number, since it uses more digits than its factorization.

1000020000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18218 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 1000020000100 its reverse (10000200001), we get a palindrome (1010020200101).

1000020000100 divided by its reverse (10000200001) gives a square (100 = 10²).

The spelling of 1000020000100 in words is "one trillion, twenty million, one hundred", and thus it is an aban number.