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102212222121 = 3213417846457
BaseRepresentation
bin101111100110001010…
…0101011110010101001
3100202211100022212111100
41133030110223302221
53133312312101441
6114542230352013
710245625360452
oct1371424536251
9322740285440
10102212222121
113a391153349
12179867bb609
13983bc30209
144d38ba0129
1529d356ccb6
hex17cc52bca9

102212222121 has 12 divisors (see below), whose sum is σ = 147651054772. Its totient is φ = 68136322176.

The previous prime is 102212222081. The next prime is 102212222137. The reversal of 102212222121 is 121222212201.

It is a happy number.

102212222121 is a `hidden beast` number, since 10 + 221 + 222 + 212 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65477133225 + 36735088896 = 255885^2 + 191664^2 .

It is not a de Polignac number, because 102212222121 - 215 = 102212189353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102212222094 and 102212222103.

It is not an unprimeable number, because it can be changed into a prime (102212222221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302476 + ... + 543981.

Almost surely, 2102212222121 is an apocalyptic number.

It is an amenable number.

102212222121 is a deficient number, since it is larger than the sum of its proper divisors (45438832651).

102212222121 is a wasteful number, since it uses less digits than its factorization.

102212222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859880 (or 859877 counting only the distinct ones).

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

Adding to 102212222121 its reverse (121222212201), we get a palindrome (223434434322).

The spelling of 102212222121 in words is "one hundred two billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 13417 40251 120753 846457 2539371 7618113 11356913569 34070740707 102212222121