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101222120220201 = 33101127758338543
BaseRepresentation
bin10111000000111110011100…
…100001001110011000101001
3111021101201222121010020212000
4113000332130201032120221
5101231410400234021301
6555140444452241213
730215025333463221
oct2700763441163051
9437351877106760
10101222120220201
112a286073011092
12b429637310209
134463288455b36
141add269053081
15ba8046434786
hex5c0f9c84e629

101222120220201 has 64 divisors (see below), whose sum is σ = 152659993559040. Its totient is φ = 66276730699200.

The previous prime is 101222120220173. The next prime is 101222120220211. The reversal of 101222120220201 is 102022021222101.

It is a happy number.

101222120220201 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 221 + 20 + 220 + 201 = 666.

It is not a de Polignac number, because 101222120220201 - 214 = 101222120203817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222120220211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2626193536 + ... + 2626232078.

It is an arithmetic number, because the mean of its divisors is an integer number (2385312399360).

Almost surely, 2101222120220201 is an apocalyptic number.

It is an amenable number.

101222120220201 is a deficient number, since it is larger than the sum of its proper divisors (51437873338839).

101222120220201 is a wasteful number, since it uses less digits than its factorization.

101222120220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46363 (or 46357 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222120220201 its reverse (102022021222101), we get a palindrome (203244141442302).

The spelling of 101222120220201 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 27 101 127 303 381 909 1143 2727 3429 7583 12827 22749 38481 38543 68247 115443 115629 204741 346329 346887 765883 963041 1040661 2297649 2889123 3892843 4894961 6892947 8667369 11678529 14684883 20678841 26002107 35035587 44054649 97267141 105106761 132163947 291801423 292271569 494391061 875404269 876814707 1483173183 2626212807 2630444121 4449519549 7891332363 13348558647 29519428469 37118489263 88558285407 111355467789 265674856221 334066403367 797024568663 1002199210101 3748967415563 11246902246689 33740706740067 101222120220201