2001110021001 has 32 divisors (see below), whose sum is σ = 3648747621120. Its totient is φ = 1055530559232.

The previous prime is 2001110020981. The next prime is 2001110021017. The reversal of 2001110021001 is 1001200111002.

It is a happy number.

It is not a de Polignac number, because 2001110021001 - 2¹⁴ = 2001110004617 is a prime.

It is a super-3 number, since 3×2001110021001³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2001110021021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407223840 + ... + 407228753.

It is an arithmetic number, because the mean of its divisors is an integer number (114023363160).

Almost surely, 2^{2001110021001} is an apocalyptic number.

2001110021001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2001110021001 is a deficient number, since it is larger than the sum of its proper divisors (1647637600119).

2001110021001 is a wasteful number, since it uses less digits than its factorization.

2001110021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814452622 (or 814452616 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001110021001 its reverse (1001200111002), we get a palindrome (3002310132003).

Subtracting from 2001110021001 its reverse (1001200111002), we obtain a palindrome (999909909999).

It can be divided in two parts, 200111002 and 1001, that multiplied together give a palindrome (200311113002).

The spelling of 2001110021001 in words is "two trillion, one billion, one hundred ten million, twenty-one thousand, one".