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12100002201 = 3271671150081
BaseRepresentation
bin10110100010011011…
…10110000110011001
31011020021021210120200
423101031312012121
5144240100032301
65320401012413
7605564215230
oct132115660631
934207253520
1012100002201
11514a154821
122418324109
1311aaaa9321
1482b00db17
154ac425c86
hex2d1376199

12100002201 has 24 divisors (see below), whose sum is σ = 20094232704. Its totient is φ = 6872878080.

The previous prime is 12100002191. The next prime is 12100002203. The reversal of 12100002201 is 10220000121.

12100002201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12100002201 - 222 = 12095807897 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 (12100002203) 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 23 ways as a sum of consecutive naturals, for example, 564520 + ... + 585561.

It is an arithmetic number, because the mean of its divisors is an integer number (837259696).

Almost surely, 212100002201 is an apocalyptic number.

It is an amenable number.

12100002201 is a deficient number, since it is larger than the sum of its proper divisors (7994230503).

12100002201 is a wasteful number, since it uses less digits than its factorization.

12100002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150261 (or 1150258 counting only the distinct ones).

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

Adding to 12100002201 its reverse (10220000121), we get a palindrome (22320002322).

It can be divided in two parts, 1210000 and 2201, that added together give a square (1212201 = 11012).

The spelling of 12100002201 in words is "twelve billion, one hundred million, two thousand, two hundred one".

Divisors: 1 3 7 9 21 63 167 501 1169 1503 3507 10521 1150081 3450243 8050567 10350729 24151701 72455103 192063527 576190581 1344444689 1728571743 4033334067 12100002201