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102122001021 = 319101108716319
BaseRepresentation
bin101111100011011110…
…0100001001001111101
3100202121001120011102010
41133012330201021331
53133121213013041
6114525244521433
710243451454255
oct1370674411175
9322531504363
10102122001021
113a345230957
1217960550279
139826331751
144d2abd6965
1529ca69aa16
hex17c6f2127d

102122001021 has 32 divisors (see below), whose sum is σ = 144890265600. Its totient is φ = 63796852800.

The previous prime is 102122001011. The next prime is 102122001067. The reversal of 102122001021 is 120100221201.

It is not a de Polignac number, because 102122001021 - 25 = 102122000989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102122000988 and 102122001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122001011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6249700 + ... + 6266018.

It is an arithmetic number, because the mean of its divisors is an integer number (4527820800).

Almost surely, 2102122001021 is an apocalyptic number.

It is an amenable number.

102122001021 is a deficient number, since it is larger than the sum of its proper divisors (42768264579).

102122001021 is a wasteful number, since it uses less digits than its factorization.

102122001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17529.

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

Adding to 102122001021 its reverse (120100221201), we get a palindrome (222222222222).

The spelling of 102122001021 in words is "one hundred two billion, one hundred twenty-two million, one thousand, twenty-one".

Divisors: 1 3 19 57 101 303 1087 1919 3261 5757 16319 20653 48957 61959 109787 310061 329361 930183 1648219 2085953 4944657 6257859 17738753 31316161 53216259 93948483 337036307 1011108921 1791614053 5374842159 34040667007 102122001021