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102001121111220 = 22353762683732997
BaseRepresentation
bin10111001100010011111100…
…100101110010110010110100
3111101011012201111201201201120
4113030103330211302302310
5101332141244001024340
61000534400153023540
730325223604011202
oct2714237445626264
9441135644651646
10102001121111220
112a556483781461
12b5346010b4bb0
1344bb883a40126
141b28c48538072
15bbd43ae034d0
hex5cc4fc972cb4

102001121111220 has 96 divisors (see below), whose sum is σ = 293327222498688. Its totient is φ = 26464697436672.

The previous prime is 102001121111207. The next prime is 102001121111299. The reversal of 102001121111220 is 22111121100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102001121111220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138789762 + ... + 139522758.

It is an arithmetic number, because the mean of its divisors is an integer number (3055491901028).

Almost surely, 2102001121111220 is an apocalyptic number.

102001121111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001121111220 is an abundant number, since it is smaller than the sum of its proper divisors (191326101387468).

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

102001121111220 is a wasteful number, since it uses less digits than its factorization.

102001121111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795729 (or 795727 counting only the distinct ones).

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

Adding to 102001121111220 its reverse (22111121100201), we get a palindrome (124112242211421).

The spelling of 102001121111220 in words is "one hundred two trillion, one billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 62683 125366 188049 250732 313415 376098 626830 732997 752196 940245 1253660 1465994 1880490 2198991 2319271 2931988 3664985 3760980 4397982 4638542 6957813 7329970 8795964 9277084 10994955 11596355 13915626 14659940 21989910 23192710 27120889 27831252 34789065 43979820 46385420 54241778 69578130 81362667 108483556 135604445 139156260 162725334 271208890 325450668 406813335 542417780 813626670 1627253340 45946450951 91892901902 137839352853 183785803804 229732254755 275678705706 459464509510 551357411412 689196764265 918929019020 1378393528530 1700018685187 2756787057060 3400037370374 5100056055561 6800074740748 8500093425935 10200112111122 17000186851870 20400224222244 25500280277805 34000373703740 51000560555610 102001121111220