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201200012101 = 11311721342841
BaseRepresentation
bin1011101101100001110…
…1001000101101000101
3201020022222022121122001
42323120131020231011
511244024200341401
6232232514305301
720351631612364
oct2733035105505
9636288277561
10201200012101
1178368186040
1232bb1588231
1315c85b18cca
149a496157db
1553789b3601
hex2ed8748b45

201200012101 has 16 divisors (see below), whose sum is σ = 226703586816. Its totient is φ = 176905440000.

The previous prime is 201200012089. The next prime is 201200012147. The reversal of 201200012101 is 101210002102.

201200012101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 201200012101 - 215 = 201199979333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200012171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415441 + ... + 758281.

It is an arithmetic number, because the mean of its divisors is an integer number (14168974176).

Almost surely, 2201200012101 is an apocalyptic number.

It is an amenable number.

201200012101 is a deficient number, since it is larger than the sum of its proper divisors (25503574715).

201200012101 is a wasteful number, since it uses less digits than its factorization.

201200012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344604.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201200012101 its reverse (101210002102), we get a palindrome (302410014203).

Subtracting from 201200012101 its reverse (101210002102), we obtain a palindrome (99990009999).

It can be divided in two parts, 20120001 and 2101, that added together give a palindrome (20122102).

The spelling of 201200012101 in words is "two hundred one billion, two hundred million, twelve thousand, one hundred one".

Divisors: 1 11 31 341 1721 18931 53351 342841 586861 3771251 10628071 116908781 590029361 6490322971 18290910191 201200012101