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102120212221 = 2353973112777
BaseRepresentation
bin101111100011011010…
…1101100011011111101
3100202120221012021122021
41133012311230123331
53133120233242341
6114525142320141
710243430324146
oct1370665543375
9322527167567
10102120212221
113a344219a05
121795ba29051
139825b564a1
144d2a88cacd
1529ca4459d1
hex17c6d6c6fd

102120212221 has 32 divisors (see below), whose sum is σ = 110082405888. Its totient is φ = 94510141440.

The previous prime is 102120212197. The next prime is 102120212237. The reversal of 102120212221 is 122212021201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102120212221 - 25 = 102120212189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102120212195 and 102120212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120212261) 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, 36772185 + ... + 36774961.

It is an arithmetic number, because the mean of its divisors is an integer number (3440075184).

Almost surely, 2102120212221 is an apocalyptic number.

It is an amenable number.

102120212221 is a deficient number, since it is larger than the sum of its proper divisors (7962193667).

102120212221 is a wasteful number, since it uses less digits than its factorization.

102120212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102120212221 its reverse (122212021201), we get a palindrome (224332233422).

The spelling of 102120212221 in words is "one hundred two billion, one hundred twenty million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 23 53 97 311 1219 2231 2777 5141 7153 16483 30167 63871 118243 147181 269369 379109 693841 863647 1598851 3385163 6195487 14276557 19863881 36773573 45773291 83773759 328360811 1052785693 1926796457 4440009227 102120212221