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12101220001 = 137313793077
BaseRepresentation
bin10110100010100100…
…11111011010100001
31011020100120200002101
423101102133122201
5144240403020001
65320443050401
7605610446533
oct132122373241
934210520071
1012101220001
11514a906772
122418810a01
1311ab114710
1482b249853
154ac5b6a01
hex2d149f6a1

12101220001 has 16 divisors (see below), whose sum is σ = 13307175504. Its totient is φ = 10936802304.

The previous prime is 12101219927. The next prime is 12101220029. The reversal of 12101220001 is 10002210121.

12101220001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1139130001 + 10962090000 = 33751^2 + 104700^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101220001 - 225 = 12067665569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12101220001.

It is not an unprimeable number, because it can be changed into a prime (12101220091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83475 + ... + 176551.

It is an arithmetic number, because the mean of its divisors is an integer number (831698469).

Almost surely, 212101220001 is an apocalyptic number.

It is an amenable number.

12101220001 is a deficient number, since it is larger than the sum of its proper divisors (1205955503).

12101220001 is a wasteful number, since it uses less digits than its factorization.

12101220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93300.

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

Adding to 12101220001 its reverse (10002210121), we get a palindrome (22103430122).

The spelling of 12101220001 in words is "twelve billion, one hundred one million, two hundred twenty thousand, one".

Divisors: 1 13 73 137 949 1781 10001 93077 130013 1210001 6794621 12751549 88330073 165770137 930863077 12101220001