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10100020001 = 99011020101
BaseRepresentation
bin10010110100000001…
…00001001100100001
3222001212222011202212
421122000201030201
5131141101120001
64350114251505
7505200516311
oct113200411441
928055864685
1010100020001
11431321a575
121b5a586b95
13c4c63a0c6
146bb55b441
153e1a687bb
hex25a021321

10100020001 has 4 divisors (see below), whose sum is σ = 10101050004. Its totient is φ = 10098990000.

The previous prime is 10100019997. The next prime is 10100020009. The reversal of 10100020001 is 10002000101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10002000101 = 99011010201.

It can be written as a sum of positive squares in 2 ways, for example, as 9996000400 + 104019601 = 99980^2 + 10199^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100020001 - 22 = 10100019997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500150 + ... + 519951.

It is an arithmetic number, because the mean of its divisors is an integer number (2525262501).

Almost surely, 210100020001 is an apocalyptic number.

It is an amenable number.

10100020001 is a deficient number, since it is larger than the sum of its proper divisors (1030003).

10100020001 is an equidigital number, since it uses as much as digits as its factorization.

10100020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030002.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10100020001 its reverse (10002000101), we get a palindrome (20102020102).

The spelling of 10100020001 in words is "ten billion, one hundred million, twenty thousand, one".

Divisors: 1 9901 1020101 10100020001