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12100202101 = 132487114699
BaseRepresentation
bin10110100010011101…
…00110111001110101
31011020021122221210101
423101032212321311
5144240122431401
65320405154101
7605566010101
oct132116467165
934207587711
1012100202101
11514a280a29
1224183bb931
1311aab49300
1482b062901
154ac465101
hex2d13a6e75

12100202101 has 12 divisors (see below), whose sum is σ = 13106167200. Its totient is φ = 11166364560.

The previous prime is 12100202087. The next prime is 12100202119. The reversal of 12100202101 is 10120200121.

It is a de Polignac number, because none of the positive numbers 2k-12100202101 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 (12100202141) 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 11 ways as a sum of consecutive naturals, for example, 815850 + ... + 830548.

It is an arithmetic number, because the mean of its divisors is an integer number (1092180600).

Almost surely, 212100202101 is an apocalyptic number.

It is an amenable number.

12100202101 is a deficient number, since it is larger than the sum of its proper divisors (1005965099).

12100202101 is a wasteful number, since it uses less digits than its factorization.

12100202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19596 (or 19583 counting only the distinct ones).

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

Adding to 12100202101 its reverse (10120200121), we get a palindrome (22220402222).

It can be divided in two parts, 1210020 and 2101, that added together give a palindrome (1212121).

The spelling of 12100202101 in words is "twelve billion, one hundred million, two hundred two thousand, one hundred one".

Divisors: 1 13 169 4871 14699 63323 191087 823199 2484131 71598829 930784777 12100202101