Search a number
-
+
12210221102101 = 112947979909301
BaseRepresentation
bin1011000110101110100111…
…1001000011010000010101
31121020021201022011120110221
42301223221321003100111
53100023013100231401
641545144221514341
72400105442625011
oct261535171032025
947207638146427
1012210221102101
113988364546320
12145250a4129b1
136a755a461469
14302d99339541
151629388797a1
hexb1ae9e43415

12210221102101 has 16 divisors (see below), whose sum is σ = 13808327385600. Its totient is φ = 10695060712000.

The previous prime is 12210221102089. The next prime is 12210221102153. The reversal of 12210221102101 is 10120112201221.

It is a cyclic number.

It is not a de Polignac number, because 12210221102101 - 223 = 12210212713493 is a prime.

It is a super-2 number, since 2×122102211021012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210221102161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39801850 + ... + 40107451.

It is an arithmetic number, because the mean of its divisors is an integer number (863020461600).

Almost surely, 212210221102101 is an apocalyptic number.

12210221102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210221102101 is a deficient number, since it is larger than the sum of its proper divisors (1598106283499).

12210221102101 is a wasteful number, since it uses less digits than its factorization.

12210221102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79909820.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12210221102101 its reverse (10120112201221), we get a palindrome (22330333303322).

The spelling of 12210221102101 in words is "twelve trillion, two hundred ten billion, two hundred twenty-one million, one hundred two thousand, one hundred one".

Divisors: 1 11 29 319 479 5269 13891 152801 79909301 879002311 2317369729 25491067019 38276555179 421042106969 1110020100191 12210221102101