2021000101001 has 4 divisors (see below), whose sum is σ = 2309714401152. Its totient is φ = 1732285800852.

The previous prime is 2021000100991. The next prime is 2021000101009. The reversal of 2021000101001 is 1001010001202.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2021000101001 - 2¹⁸ = 2020999838857 is a prime.

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 2021000101001.

It is not an unprimeable number, because it can be changed into a prime (2021000101009) 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, 144357150065 + ... + 144357150078.

It is an arithmetic number, because the mean of its divisors is an integer number (577428600288).

Almost surely, 2^{2021000101001} is an apocalyptic number.

It is an amenable number.

2021000101001 is a deficient number, since it is larger than the sum of its proper divisors (288714300151).

2021000101001 is an equidigital number, since it uses as much as digits as its factorization.

2021000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288714300150.

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

Adding to 2021000101001 its reverse (1001010001202), we get a palindrome (3022010102203).

The spelling of 2021000101001 in words is "two trillion, twenty-one billion, one hundred one thousand, one".