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1022201012100 = 22352171011984471
BaseRepresentation
bin11101101111111111110…
…11011001111110000100
310121201110221112200201110
432313333323121332010
5113221431424341400
62101332003125020
7133565044145562
oct16677773317604
93551427480643
101022201012100
11364570905984
12146139073770
137551596a6a8
1437690b90a32
151b8ca84de50
hexedffed9f84

1022201012100 has 144 divisors (see below), whose sum is σ = 3162549833856. Its totient is φ = 254012160000.

The previous prime is 1022201012081. The next prime is 1022201012179. The reversal of 1022201012100 is 12101022201.

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, 477136 + ... + 1507335.

It is an arithmetic number, because the mean of its divisors is an integer number (21962151624).

Almost surely, 21022201012100 is an apocalyptic number.

1022201012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022201012100 is an abundant number, since it is smaller than the sum of its proper divisors (2140348821756).

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

1022201012100 is a wasteful number, since it uses less digits than its factorization.

1022201012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984606 (or 1984599 counting only the distinct ones).

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

Adding to 1022201012100 its reverse (12101022201), we get a palindrome (1034302034301).

It can be divided in two parts, 102220101 and 2100, that added together give a palindrome (102222201).

The spelling of 1022201012100 in words is "one trillion, twenty-two billion, two hundred one million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 101 102 150 170 202 204 255 300 303 340 404 425 505 510 606 850 1010 1020 1212 1275 1515 1700 1717 2020 2525 2550 3030 3434 5050 5100 5151 6060 6868 7575 8585 10100 10302 15150 17170 20604 25755 30300 34340 42925 51510 85850 103020 128775 171700 257550 515100 1984471 3968942 5953413 7937884 9922355 11906826 19844710 23813652 29767065 33736007 39689420 49611775 59534130 67472014 99223550 101208021 119068260 134944028 148835325 168680035 198447100 200431571 202416042 297670650 337360070 400863142 404832084 506040105 595341300 601294713 674720140 801726284 843400175 1002157855 1012080210 1202589426 1686800350 2004315710 2024160420 2405178852 2530200525 3006473565 3373600700 3407336707 4008631420 5010789275 5060401050 6012947130 6814673414 10021578550 10120802100 10222010121 12025894260 13629346828 15032367825 17036683535 20043157100 20444020242 30064735650 34073367070 40888040484 51110050605 60129471300 68146734140 85183417675 102220101210 170366835350 204440202420 255550253025 340733670700 511100506050 1022201012100