2001212001 has 60 divisors (see below), whose sum is σ = 3237583932. Its totient is φ = 1231206912.

The previous prime is 2001211981. The next prime is 2001212021. The reversal of 2001212001 is 1002121002.

It is an interprime number because it is at equal distance from previous prime (2001211981) and next prime (2001212021).

It can be written as a sum of positive squares in 6 ways, for example, as 415181376 + 1586030625 = 20376^2 + 39825^2 .

It is not a de Polignac number, because 2001212001 - 2¹¹ = 2001209953 is a prime.

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 (2001212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1239871 + ... + 1241483.

Almost surely, 2^2001212001 is an apocalyptic number.

It is an amenable number.

2001212001 is a deficient number, since it is larger than the sum of its proper divisors (1236371931).

2001212001 is a wasteful number, since it uses less digits than its factorization.

2001212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2001212001 is about 44734.9080808265. The cubic root of 2001212001 is about 1260.1755027643.

Adding to 2001212001 its reverse (1002121002), we get a palindrome (3003333003).

Subtracting from 2001212001 its reverse (1002121002), we obtain a palindrome (999090999).

It can be divided in two parts, 200 and 1212001, that added together give a square (1212201 = 1101²).

The spelling of 2001212001 in words is "two billion, one million, two hundred twelve thousand, one".