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2001002001001 is a prime number
BaseRepresentation
bin11101000111100101000…
…000110111001001101001
321002021221021021202221021
4131013211000313021221
5230241023003013001
64131125253212441
7264365460241543
oct35074500671151
97067837252837
102001002001001
11701690510a93
12283983631121
13116903022283
146cbc599c693
15370b5e56ba1
hex1d1e5037269

2001002001001 has 2 divisors, whose sum is σ = 2001002001002. Its totient is φ = 2001002001000.

The previous prime is 2001002000981. The next prime is 2001002001017. The reversal of 2001002001001 is 1001002001002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1827593053225 + 173408947776 = 1351885^2 + 416424^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001002001001 - 27 = 2001002000873 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001002002001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000501000500 + 1000501000501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000501000501).

Almost surely, 22001002001001 is an apocalyptic number.

It is an amenable number.

2001002001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001002001001 is an equidigital number, since it uses as much as digits as its factorization.

2001002001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2001002001001 its reverse (1001002001002), we get a palindrome (3002004002003).

Subtracting from 2001002001001 its reverse (1001002001002), we obtain a palindrome (999999999999).

The spelling of 2001002001001 in words is "two trillion, one billion, two million, one thousand, one".