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12221102101 = 1341151151847
BaseRepresentation
bin10110110000110111…
…10011100000010101
31011112201011022102011
423120123303200111
5200012100231401
65340404344221
7611564440165
oct133033634025
934481138364
1012221102101
11520154798a
1224509a5071
1311c9bc9a80
1483d1345a5
154b7d97451
hex2d86f3815

12221102101 has 16 divisors (see below), whose sum is σ = 13571566848. Its totient is φ = 10932912000.

The previous prime is 12221102099. The next prime is 12221102107. The reversal of 12221102101 is 10120112221.

12221102101 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 12221102101 - 21 = 12221102099 is a prime.

It is a super-2 number, since 2×122211021012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221102107) 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, 4560 + ... + 156406.

It is an arithmetic number, because the mean of its divisors is an integer number (848222928).

Almost surely, 212221102101 is an apocalyptic number.

It is an amenable number.

12221102101 is a deficient number, since it is larger than the sum of its proper divisors (1350464747).

12221102101 is a wasteful number, since it uses less digits than its factorization.

12221102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152052.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12221102101 its reverse (10120112221), we get a palindrome (22341214322).

The spelling of 12221102101 in words is "twelve billion, two hundred twenty-one million, one hundred two thousand, one hundred one".

Divisors: 1 13 41 151 533 1963 6191 80483 151847 1974011 6225727 22928897 80934451 298075661 940084777 12221102101