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102122021121 = 31716345726881
BaseRepresentation
bin101111100011011110…
…0100110000100000001
3100202121001121011222120
41133012330212010001
53133121214133441
6114525245154453
710243451600001
oct1370674460401
9322531534876
10102122021121
113a345244a6a
121796055ba29
13982633a943
144d2ac00001
1529ca6a1966
hex17c6f26101

102122021121 has 32 divisors (see below), whose sum is σ = 145379576448. Its totient is φ = 63541739520.

The previous prime is 102122021119. The next prime is 102122021129. The reversal of 102122021121 is 121120221201.

It is not a de Polignac number, because 102122021121 - 21 = 102122021119 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102122021121.

It is not an unprimeable number, because it can be changed into a prime (102122021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3785601 + ... + 3812481.

It is an arithmetic number, because the mean of its divisors is an integer number (4543111764).

Almost surely, 2102122021121 is an apocalyptic number.

It is an amenable number.

102122021121 is a deficient number, since it is larger than the sum of its proper divisors (43257555327).

102122021121 is a wasteful number, since it uses less digits than its factorization.

102122021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27521.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102122021121 its reverse (121120221201), we get a palindrome (223242242322).

The spelling of 102122021121 in words is "one hundred two billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 17 51 163 457 489 1371 2771 7769 8313 23307 26881 74491 80643 223473 456977 1266347 1370931 3799041 4381603 12284617 13144809 36853851 74487251 208838489 223461753 626515467 2002392571 6007177713 34040673707 102122021121