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202201102112121 = 327219101238929599
BaseRepresentation
bin101101111110011010011100…
…110111010101010101111001
3222111221020101110120200122100
4231332122130313111111321
5203000330324120041441
61554013523130414013
760406355543500500
oct5576323467252571
9874836343520570
10202201102112121
11594780078524a2
121a817b17b91309
1388a9636282568
1437d082aac3837
151859aac142cb6
hexb7e69cdd5579

202201102112121 has 72 divisors (see below), whose sum is σ = 361175540544000. Its totient is φ = 108378465652800.

The previous prime is 202201102112063. The next prime is 202201102112147. The reversal of 202201102112121 is 121211201102202.

202201102112121 is a `hidden beast` number, since 2 + 0 + 220 + 110 + 211 + 2 + 121 = 666.

It is not a de Polignac number, because 202201102112121 - 29 = 202201102111609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202201102112094 and 202201102112103.

It is not an unprimeable number, because it can be changed into a prime (202201102112171) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118618521 + ... + 120311078.

It is an arithmetic number, because the mean of its divisors is an integer number (5016326952000).

Almost surely, 2202201102112121 is an apocalyptic number.

202201102112121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202201102112121 is a deficient number, since it is larger than the sum of its proper divisors (158974438431879).

202201102112121 is a wasteful number, since it uses less digits than its factorization.

202201102112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238929739 (or 238929729 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202201102112121 its reverse (121211201102202), we get a palindrome (323412303214323).

The spelling of 202201102112121 in words is "two hundred two trillion, two hundred one billion, one hundred two million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 19 21 49 57 63 101 133 147 171 303 399 441 707 909 931 1197 1919 2121 2793 4949 5757 6363 8379 13433 14847 17271 40299 44541 94031 120897 282093 846279 238929599 716788797 1672507193 2150366391 4539662381 5017521579 11707550351 13618987143 15052564737 24131889499 31777636667 35122651053 40856961429 72395668497 95332910001 105367953159 168923226493 217187005491 222443456669 285998730003 458505900481 506769679479 667330370007 1182462585451 1375517701443 1520309038437 2001991110021 3209541303367 3547387756353 4126553104329 9628623910101 10642163269059 22466789123569 28885871730303 67400367370707 202201102112121