2101010020001 has 4 divisors (see below), whose sum is σ = 2101017290004. Its totient is φ = 2101002750000.

The previous prime is 2101010019971. The next prime is 2101010020007. The reversal of 2101010020001 is 1000200101012.

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 1084847233600 + 1016162786401 = 1041560^2 + 1008049^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101010020001 - 2³⁴ = 2083830150817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101010020007) 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, 3182750 + ... + 3785751.

It is an arithmetic number, because the mean of its divisors is an integer number (525254322501).

Almost surely, 2^{2101010020001} is an apocalyptic number.

It is an amenable number.

2101010020001 is a deficient number, since it is larger than the sum of its proper divisors (7270003).

2101010020001 is an equidigital number, since it uses as much as digits as its factorization.

2101010020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7270002.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2101010020001 its reverse (1000200101012), we get a palindrome (3101210121013).

The spelling of 2101010020001 in words is "two trillion, one hundred one billion, ten million, twenty thousand, one".