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12102202101 = 3114127773221
BaseRepresentation
bin10110100010101100…
…01111001011110101
31011020102102120021110
423101112033023311
5144241130431401
65320520105233
7605622010023
oct132126171365
934212376243
1012102202101
115150417620
122419005219
1311ab399742
1482b423713
154ac70c9d6
hex2d158f2f5

12102202101 has 32 divisors (see below), whose sum is σ = 18044643456. Its totient is φ = 7150976000.

The previous prime is 12102202087. The next prime is 12102202103. The reversal of 12102202101 is 10120220121.

It is a cyclic number.

It is not a de Polignac number, because 12102202101 - 29 = 12102201589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102202103) 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 31 ways as a sum of consecutive naturals, for example, 3755671 + ... + 3758891.

It is an arithmetic number, because the mean of its divisors is an integer number (563895108).

Almost surely, 212102202101 is an apocalyptic number.

12102202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102202101 is a deficient number, since it is larger than the sum of its proper divisors (5942441355).

12102202101 is a wasteful number, since it uses less digits than its factorization.

12102202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102202101 its reverse (10120220121), we get a palindrome (22222422222).

The spelling of 12102202101 in words is "twelve billion, one hundred two million, two hundred two thousand, one hundred one".

Divisors: 1 3 11 33 41 123 451 1353 2777 3221 8331 9663 30547 35431 91641 106293 113857 132061 341571 396183 1252427 1452671 3757281 4358013 8944717 26834151 98391887 295175661 366733397 1100200191 4034067367 12102202101