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12210100101221 = 113904728427513
BaseRepresentation
bin1011000110101110001010…
…1011011110000001100101
31121020021101212111002110212
42301223202223132001211
53100022241111214341
641545124220225205
72400102443264531
oct261534253360145
947207355432425
1012210100101221
1139883022105a0
12145249599b205
136a753b376ac9
14302d8723cbc1
1516292ce275eb
hexb1ae2ade065

12210100101221 has 8 divisors (see below), whose sum is σ = 13320450800064. Its totient is φ = 11099806335520.

The previous prime is 12210100101193. The next prime is 12210100101239.

12210100101221 is nontrivially palindromic in base 10.

12210100101221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12210100101221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12210100101196 and 12210100101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210100101421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13784240 + ... + 14643273.

It is an arithmetic number, because the mean of its divisors is an integer number (1665056350008).

Almost surely, 212210100101221 is an apocalyptic number.

12210100101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210100101221 is a deficient number, since it is larger than the sum of its proper divisors (1110350698843).

12210100101221 is a wasteful number, since it uses less digits than its factorization.

12210100101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28466571.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 12210100 and 101221, that added together give a palindrome (12311321).

The spelling of 12210100101221 in words is "twelve trillion, two hundred ten billion, one hundred million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 11 39047 429517 28427513 312702643 1110009100111 12210100101221