1002001100101 has 4 divisors (see below), whose sum is σ = 1002041338572. Its totient is φ = 1001960861632.

The previous prime is 1002001100063. The next prime is 1002001100131. The reversal of 1002001100101 is 1010011002001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 577066603201 + 424934496900 = 759649^2 + 651870^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002001100101 - 2³⁷ = 864562146629 is a prime.

It is a super-2 number, since 2×1002001100101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001100131) 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 3 ways as a sum of consecutive naturals, for example, 20081860 + ... + 20131693.

It is an arithmetic number, because the mean of its divisors is an integer number (250510334643).

Almost surely, 2^{1002001100101} is an apocalyptic number.

It is an amenable number.

1002001100101 is a deficient number, since it is larger than the sum of its proper divisors (40238471).

1002001100101 is an equidigital number, since it uses as much as digits as its factorization.

1002001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40238470.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1002001100101 its reverse (1010011002001), we get a palindrome (2012012102102).

The spelling of 1002001100101 in words is "one trillion, two billion, one million, one hundred thousand, one hundred one".