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201202102101 = 372111310392927
BaseRepresentation
bin1011101101100010010…
…1000110111101010101
3201020100010020210120110
42323120211012331111
511244030214231401
6232233031153233
720351655435600
oct2733045067525
9636303223513
10201202102101
1178369383310
1232bb2215819
1315c8639b3b0
149a499db337
155378c779d6
hex2ed8946f55

201202102101 has 96 divisors (see below), whose sum is σ = 370189467648. Its totient is φ = 95542796160.

The previous prime is 201202102091. The next prime is 201202102103. The reversal of 201202102101 is 101201202102.

It is not a de Polignac number, because 201202102101 - 27 = 201202101973 is a prime.

It is a super-2 number, since 2×2012021021012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202102103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2118700 + ... + 2211626.

It is an arithmetic number, because the mean of its divisors is an integer number (3856140288).

Almost surely, 2201202102101 is an apocalyptic number.

201202102101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201202102101 is a deficient number, since it is larger than the sum of its proper divisors (168987365547).

201202102101 is a wasteful number, since it uses less digits than its factorization.

201202102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93071 (or 93064 counting only the distinct ones).

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

Adding to 201202102101 its reverse (101201202102), we get a palindrome (302403304203).

It can be divided in two parts, 201202102 and 101, that multiplied together give a palindrome (20321412302).

The spelling of 201202102101 in words is "two hundred one billion, two hundred two million, one hundred two thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 103 143 147 231 273 309 429 539 637 721 1001 1133 1339 1617 1911 2163 3003 3399 4017 5047 7007 7931 9373 14729 15141 21021 23793 28119 44187 55517 65611 92927 103103 166551 196833 278781 309309 650489 721721 1022197 1208051 1951467 2165163 3066591 3624153 4553423 7155379 8456357 9571481 13288561 13660269 21466137 25369071 28714443 39865683 50087653 59194499 67000367 93019927 105286291 124429253 150262959 177583497 201001101 279059781 315858873 373287759 469002569 651139489 737004037 871004771 1368721783 1407007707 1953418467 2211012111 2613014313 4106165349 5159028259 6097033397 9581052481 15477084777 18291100191 28743157443 67067367367 201202102101