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102121221202 = 271113311819091
BaseRepresentation
bin101111100011011100…
…1100010110001010010
3100202121000002112200221
41133012321202301102
53133121013034302
6114525220103254
710243442025610
oct1370671426122
9322530075627
10102121221202
113a344848a80
1217960234b2a
13982611a810
144d2aa726b0
1529ca594937
hex17c6e62c52

102121221202 has 128 divisors (see below), whose sum is σ = 213501689856. Its totient is φ = 35341920000.

The previous prime is 102121221161. The next prime is 102121221229. The reversal of 102121221202 is 202122121201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11228677 + ... + 11237767.

It is an arithmetic number, because the mean of its divisors is an integer number (1667981952).

Almost surely, 2102121221202 is an apocalyptic number.

102121221202 is an abundant number, since it is smaller than the sum of its proper divisors (111380468654).

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

102121221202 is a wasteful number, since it uses less digits than its factorization.

102121221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102121221202 its reverse (202122121201), we get a palindrome (304243342403).

It can be divided in two parts, 102121 and 221202, that added together give a palindrome (323323).

The spelling of 102121221202 in words is "one hundred two billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 7 11 13 14 22 26 31 62 77 91 143 154 181 182 217 286 341 362 403 434 682 806 1001 1267 1991 2002 2353 2387 2534 2821 3982 4433 4706 4774 5611 5642 8866 9091 11222 13937 16471 18182 25883 27874 31031 32942 39277 51766 61721 62062 63637 72943 78554 100001 118183 123442 127274 145886 181181 200002 236366 281821 362362 432047 510601 563642 700007 802373 827281 864094 1021202 1300013 1400014 1604746 1645471 1654562 1972747 2600026 3100031 3290942 3663673 3945494 5616611 6200062 7327346 9100091 11233222 11518297 18100181 18200182 21391123 21700217 23036594 25645711 36200362 40300403 42782246 43400434 51009601 51291422 80600806 102019202 126701267 149737861 235302353 253402534 282102821 299475722 357067207 470604706 561105611 564205642 663124813 714134414 1122211222 1326249626 1647116471 3294232942 3927739277 4641873691 7294372943 7855478554 9283747382 14588745886 51060610601 102121221202