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102212213110101 = 32101208353982083
BaseRepresentation
bin10111001111011000100010…
…101001110111010101010101
3111101220101120212120100012100
4113033120202221313111111
5101344121103024010401
61001215350435112313
730346405632260313
oct2717304251672525
9441811525510170
10102212213110101
112a627a576a7586
12b5694b3442699
134505755058643
141b351517d70b3
15bc3b9303ab86
hex5cf622a77555

102212213110101 has 24 divisors (see below), whose sum is σ = 149173227212256. Its totient is φ = 67434416834400.

The previous prime is 102212213110097. The next prime is 102212213110219. The reversal of 102212213110101 is 101011312212201.

It is a happy number.

102212213110101 is a `hidden beast` number, since 10 + 2 + 21 + 221 + 311 + 0 + 101 = 666.

It is not a de Polignac number, because 102212213110101 - 22 = 102212213110097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212213117101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25097595 + ... + 28884488.

It is an arithmetic number, because the mean of its divisors is an integer number (6215551133844).

Almost surely, 2102212213110101 is an apocalyptic number.

It is an amenable number.

102212213110101 is a deficient number, since it is larger than the sum of its proper divisors (46961014102155).

102212213110101 is a wasteful number, since it uses less digits than its factorization.

102212213110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53984273 (or 53984270 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102212213110101 its reverse (101011312212201), we get a palindrome (203223525322302).

The spelling of 102212213110101 in words is "one hundred two trillion, two hundred twelve billion, two hundred thirteen million, one hundred ten thousand, one hundred one".

Divisors: 1 3 9 101 303 909 2083 6249 18747 210383 631149 1893447 53982083 161946249 485838747 5452190383 16356571149 49069713447 112444678889 337334036667 1012002110001 11356912567789 34070737703367 102212213110101