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22121000012100 = 223521110166369637
BaseRepresentation
bin1010000011110011100100…
…10110010000100101000100
32220022202011112011211211110
411001321302112100211010
510344412302000341400
6115014125213205020
74442122000453353
oct501716226204504
986282145154743
1022121000012100
1170595108a4920
122593246190770
13c46002c74cb2
1456693aba599a
152856409ede50
hex141e72590944

22121000012100 has 144 divisors (see below), whose sum is σ = 70513227239616. Its totient is φ = 5309570880000.

The previous prime is 22121000012087. The next prime is 22121000012147. The reversal of 22121000012100 is 121000012122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32851519 + ... + 33518118.

It is an arithmetic number, because the mean of its divisors is an integer number (489675189164).

Almost surely, 222121000012100 is an apocalyptic number.

22121000012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121000012100 is an abundant number, since it is smaller than the sum of its proper divisors (48392227227516).

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

22121000012100 is a wasteful number, since it uses less digits than its factorization.

22121000012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66369766 (or 66369759 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22121000012100 its reverse (121000012122), we get a palindrome (22242000024222).

The spelling of 22121000012100 in words is "twenty-two trillion, one hundred twenty-one billion, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 66369637 132739274 199108911 265478548 331848185 398217822 663696370 730066007 796435644 995544555 1327392740 1460132014 1659240925 1991089110 2190198021 2920264028 3318481850 3650330035 3982178220 4380396042 4977722775 6636963700 6703333337 7300660070 8760792084 9955445550 10950990105 13406666674 14601320140 18251650175 19910891100 20110000011 21901980210 26813333348 33516666685 36503300350 40220000022 43803960420 54754950525 67033333370 73006600700 73736666707 80440000044 100550000055 109509901050 134066666740 147473333414 167583333425 201100000110 219019802100 221210000121 294946666828 335166666850 368683333535 402200000220 442420000242 502750000275 670333333700 737366667070 884840000484 1005500000550 1106050000605 1474733334140 1843416667675 2011000001100 2212100001210 3686833335350 4424200002420 5530250003025 7373666670700 11060500006050 22121000012100