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11221010012121 = 37213231447176431
BaseRepresentation
bin1010001101001001100001…
…0100001101011111011001
31110201201101110222120012220
42203102120110031133121
52432321112030341441
635510505535054253
72235456042245100
oct243223024153731
943651343876186
1011221010012121
113636892691198
121312859671389
136351a1452260
142ab157b35037
15146d3e3a7466
hexa349850d7d9

11221010012121 has 96 divisors (see below), whose sum is σ = 19571316645888. Its totient is φ = 5657491889280.

The previous prime is 11221010012111. The next prime is 11221010012171. The reversal of 11221010012121 is 12121001012211.

It is a happy number.

It is not a de Polignac number, because 11221010012121 - 211 = 11221010010073 is a prime.

It is a super-2 number, since 2×112210100121212 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11221010012121.

It is not an unprimeable number, because it can be changed into a prime (11221010012111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63511776 + ... + 63688206.

It is an arithmetic number, because the mean of its divisors is an integer number (203867881728).

Almost surely, 211221010012121 is an apocalyptic number.

It is an amenable number.

11221010012121 is a deficient number, since it is larger than the sum of its proper divisors (8350306633767).

11221010012121 is a wasteful number, since it uses less digits than its factorization.

11221010012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177931 (or 177924 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11221010012121 its reverse (12121001012211), we get a palindrome (23342011024332).

The spelling of 11221010012121 in words is "eleven trillion, two hundred twenty-one billion, ten million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 23 39 49 69 91 147 161 273 299 483 637 897 1127 1447 1911 2093 3381 4341 6279 10129 14651 18811 30387 33281 43953 56433 70903 99843 131677 176431 212709 232967 395031 432653 529293 698901 921739 1235017 1297959 1630769 2293603 2765217 3028571 3705051 4057913 4892307 6880809 8645119 9085713 12173739 16055221 21199997 25935357 28405391 48165663 52752869 63599991 85216173 112386547 158258607 198837737 255295657 337159641 369270083 596513211 765886971 1107810249 1787069599 2584890581 3318843541 5361208797 5871800111 7754671743 9956530623 12509487193 17615400333 23231904787 37528461579 41102600777 69695714361 76333401443 123307802331 162623333509 229000204329 287718205439 487870000527 534333810101 863154616317 1603001430303 3740336670707 11221010012121