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110100221012221 = 11297915971273551
BaseRepresentation
bin11001000010001010110100…
…100100000010100011111101
3112102211110220201001201010121
4121002022310210002203331
5103412340223034342341
61030055202051534541
732122323054205546
oct3102126444024375
9472743821051117
10110100221012221
1132099272500020
12104221b12ba451
13495853881425b
141d28c444934cd
15cade5d0574d1
hex6422b49028fd

110100221012221 has 32 divisors (see below), whose sum is σ = 125832169267200. Its totient is φ = 95410082040000.

The previous prime is 110100221012183. The next prime is 110100221012237. The reversal of 110100221012221 is 122210122001011.

It is a cyclic number.

It is not a de Polignac number, because 110100221012221 - 215 = 110100220979453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110100221012195 and 110100221012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100221012261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402348396 + ... + 402621946.

It is an arithmetic number, because the mean of its divisors is an integer number (3932255289600).

Almost surely, 2110100221012221 is an apocalyptic number.

110100221012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100221012221 is a deficient number, since it is larger than the sum of its proper divisors (15731948254979).

110100221012221 is a wasteful number, since it uses less digits than its factorization.

110100221012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289641.

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

Adding to 110100221012221 its reverse (122210122001011), we get a palindrome (232310343013232).

The spelling of 110100221012221 in words is "one hundred ten trillion, one hundred billion, two hundred twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 11 29 79 319 869 2291 15971 25201 175681 273551 463159 1261709 3009061 5094749 7932979 13878799 21610529 36589561 87262769 237715819 402485171 626705341 4368883021 6893758751 48057713231 126697607609 345141758659 1393673683699 3796559345249 10009111001111 110100221012221