1000020000101 has 8 divisors (see below), whose sum is σ = 1003304504664. Its totient is φ = 996736066560.

The previous prime is 1000020000013. The next prime is 1000020000131. The reversal of 1000020000101 is 1010000200001.

It is a happy number.

It is a Cunningham number, because it is equal to 1000010²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 1000020000100 = 1^2 + 1000010^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000020000101 - 2¹⁴ = 1000019983717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020000131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3519395 + ... + 3792911.

It is an arithmetic number, because the mean of its divisors is an integer number (125413063083).

Almost surely, 2^{1000020000101} is an apocalyptic number.

It is an amenable number.

1000020000101 is a deficient number, since it is larger than the sum of its proper divisors (3284504563).

1000020000101 is a wasteful number, since it uses less digits than its factorization.

1000020000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285511.

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

Adding to 1000020000101 its reverse (1010000200001), we get a palindrome (2010020200102).

The spelling of 1000020000101 in words is "one trillion, twenty million, one hundred one", and thus it is an aban number.