101010200001001 has 4 divisors (see below), whose sum is σ = 101262095762004. Its totient is φ = 100758304240000.

The previous prime is 101010200000987. The next prime is 101010200001079. The reversal of 101010200001001 is 100100002010101.

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 100302708735376 + 707491265625 = 10015124^2 + 841125^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010200001001 - 2³⁷ = 100872761047529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101010200001901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125947879900 + ... + 125947880701.

It is an arithmetic number, because the mean of its divisors is an integer number (25315523940501).

Almost surely, 2^{101010200001001} is an apocalyptic number.

It is an amenable number.

101010200001001 is a deficient number, since it is larger than the sum of its proper divisors (251895761003).

101010200001001 is an equidigital number, since it uses as much as digits as its factorization.

101010200001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251895761002.

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

Adding to 101010200001001 its reverse (100100002010101), we get a palindrome (201110202011102).

The spelling of 101010200001001 in words is "one hundred one trillion, ten billion, two hundred million, one thousand, one".