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100202020222101 = 37173169185315361
BaseRepresentation
bin10110110010001000011001…
…110100100011010010010101
3111010210012221002000010111220
4112302020121310203102111
5101113202214134101401
6553040101141120553
730051233320533510
oct2662103164432225
9433705832003456
10100202020222101
1129a22490177116
12b2a39a59b9159
1343bb018b6c9c5
141aa5b37333d77
15b8b74029d336
hex5b2219d23495

100202020222101 has 128 divisors (see below), whose sum is σ = 167333998067712. Its totient is φ = 52011859968000.

The previous prime is 100202020222043. The next prime is 100202020222177. The reversal of 100202020222101 is 101222020202001.

It is not a de Polignac number, because 100202020222101 - 211 = 100202020220053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202020222301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6523136661 + ... + 6523152021.

It is an arithmetic number, because the mean of its divisors is an integer number (1307296859904).

Almost surely, 2100202020222101 is an apocalyptic number.

It is an amenable number.

100202020222101 is a deficient number, since it is larger than the sum of its proper divisors (67131977845611).

100202020222101 is a wasteful number, since it uses less digits than its factorization.

100202020222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16963.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100202020222101 its reverse (101222020202001), we get a palindrome (201424040424102).

The spelling of 100202020222101 in words is "one hundred trillion, two hundred two billion, twenty million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 17 21 31 51 93 119 217 357 527 651 691 853 1581 2073 2559 3689 4837 5971 11067 11747 14501 14511 15361 17913 21421 26443 35241 43503 46083 64263 79329 82229 101507 107527 149947 185101 246687 261137 304521 322581 364157 449531 449841 476191 555303 589423 783411 1092471 1348593 1428573 1768269 1827959 2549099 3146717 3333337 4125961 5483877 7647297 8095247 9440151 10000011 10020191 10614451 12377883 13102933 18272113 24285741 30060573 31843353 39308799 54816339 56666729 70141337 74301157 91720531 127904791 170000187 180445667 210424011 222749861 222903471 275161593 310625921 329047981 383714373 406190923 541337001 668249583 931877763 987143943 1218572769 1263119669 1559249027 2174381447 2303335867 2843336461 3789359007 4677747081 5593815677 6523144341 6905245691 6910007601 8530009383 9054126703 16781447031 20715737073 27162380109 39156709739 48336719837 63378886921 117470129217 145010159511 153920153951 190136660763 280677927793 461760461853 842033783379 1077441077657 1964745494551 3232323232971 4771524772481 5894236483653 14314574317443 33400673407367 100202020222101