Search a number
-
+
12101121220100 = 22521194331166227
BaseRepresentation
bin1011000000011000001100…
…0010000001111000000100
31120211212002221111022212112
42300012003002001320010
53041231044013020400
641423102304440152
72356164031134203
oct260060302017004
946755087438775
1012101121220100
1139460694a9190
121435341019058
1369a19159c873
142db9a990323a
1515eba07d3835
hexb0183081e04

12101121220100 has 72 divisors (see below), whose sum is σ = 28649715655008. Its totient is φ = 4399937452800.

The previous prime is 12101121220073. The next prime is 12101121220141. The reversal of 12101121220100 is 102212110121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9793187 + ... + 10959413.

Almost surely, 212101121220100 is an apocalyptic number.

12101121220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101121220100 is an abundant number, since it is smaller than the sum of its proper divisors (16548594434908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12101121220100 is a wasteful number, since it uses less digits than its factorization.

12101121220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175685 (or 1175678 counting only the distinct ones).

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

Adding to 12101121220100 its reverse (102212110121), we get a palindrome (12203333330221).

The spelling of 12101121220100 in words is "twelve trillion, one hundred one billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9433 18866 37732 47165 94330 103763 188660 207526 235825 415052 471650 518815 943300 1037630 1166227 2075260 2332454 2594075 4664908 5188150 5831135 10376300 11662270 12828497 23324540 25656994 29155675 51313988 58311350 64142485 116622700 128284970 256569940 320712425 641424850 1282849700 11001019291 22002038582 44004077164 55005096455 110010192910 121011212201 220020385820 242022424402 275025482275 484044848804 550050964550 605056061005 1100101929100 1210112122010 2420224244020 3025280305025 6050560610050 12101121220100