1001020021001 has 16 divisors (see below), whose sum is σ = 1344026882688. Its totient is φ = 720014400000.

The previous prime is 1001020020937. The next prime is 1001020021013. The reversal of 1001020021001 is 1001200201001.

It is not a de Polignac number, because 1001020021001 - 2⁶ = 1001020020937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001020021001.

It is not an unprimeable number, because it can be changed into a prime (1001020021061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500009000 + ... + 500011001.

It is an arithmetic number, because the mean of its divisors is an integer number (84001680168).

Almost surely, 2^{1001020021001} is an apocalyptic number.

1001020021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001020021001 is a deficient number, since it is larger than the sum of its proper divisors (343006861687).

1001020021001 is a wasteful number, since it uses less digits than its factorization.

1001020021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000020032.

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

Adding to 1001020021001 its reverse (1001200201001), we get a palindrome (2002220222002).

The spelling of 1001020021001 in words is "one trillion, one billion, twenty million, twenty-one thousand, one".