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100121212122 = 231737531313821
BaseRepresentation
bin101110100111110110…
…0000111010011011010
3100120102121201120000120
41131033230013103122
53120022012241442
6113554533014110
710143045155421
oct1351754072332
9316377646016
10100121212122
11395088a5608
12174a2484336
13959796c2a9
144bbb1b42b8
15290ebce4ec
hex174fb074da

100121212122 has 128 divisors (see below), whose sum is σ = 223612316928. Its totient is φ = 29748326400.

The previous prime is 100121212111. The next prime is 100121212171. The reversal of 100121212122 is 221212121001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26200972 + ... + 26204792.

It is an arithmetic number, because the mean of its divisors is an integer number (1746971226).

Almost surely, 2100121212122 is an apocalyptic number.

100121212122 is an abundant number, since it is smaller than the sum of its proper divisors (123491104806).

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

100121212122 is a wasteful number, since it uses less digits than its factorization.

100121212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100121212122 its reverse (221212121001), we get a palindrome (321333333123).

The spelling of 100121212122 in words is "one hundred billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 17 34 37 51 53 74 102 106 111 131 159 222 262 318 393 629 786 901 1258 1802 1887 1961 2227 2703 3774 3821 3922 4454 4847 5406 5883 6681 6943 7642 9694 11463 11766 13362 13886 14541 20829 22926 29082 33337 41658 64957 66674 82399 100011 118031 129914 141377 164798 194871 200022 202513 236062 247197 256891 282754 354093 389742 405026 424131 494394 500551 513782 607539 708186 770673 848262 1001102 1215078 1501653 1541346 2403409 3003306 3442721 4367147 4806818 6885442 7210227 7492981 8509367 8734294 10328163 13101441 14420454 14985962 17018734 18520387 20656326 22478943 25528101 26202882 26529203 37040774 44957886 51056202 53058406 55561161 79587609 111122322 127380677 159175218 254761354 314846579 382142031 450996451 629693158 764284062 901992902 944539737 981580511 1352989353 1889079474 1963161022 2705978706 2944741533 5889483066 16686868687 33373737374 50060606061 100121212122