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221010102012181 is a prime number
BaseRepresentation
bin110010010000000111101100…
…100111110100100100010101
31001222112100201000020101020111
4302100013230213310210111
5212432012142103342211
62102014350023203021
764360311233643136
oct6220075447644425
91058470630211214
10221010102012181
1164469948956579
12209552a3ba6471
1396422176c5241
143c80d35c03c8d
151a83ea749a421
hexc901ec9f4915

221010102012181 has 2 divisors, whose sum is σ = 221010102012182. Its totient is φ = 221010102012180.

The previous prime is 221010102012083. The next prime is 221010102012211. The reversal of 221010102012181 is 181210201010122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190047454492900 + 30962647519281 = 13785770^2 + 5564409^2 .

It is a cyclic number.

It is not a de Polignac number, because 221010102012181 - 215 = 221010101979413 is a prime.

It is a super-2 number, since 2×2210101020121812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221010102012281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110505051006090 + 110505051006091.

It is an arithmetic number, because the mean of its divisors is an integer number (110505051006091).

Almost surely, 2221010102012181 is an apocalyptic number.

It is an amenable number.

221010102012181 is a deficient number, since it is larger than the sum of its proper divisors (1).

221010102012181 is an equidigital number, since it uses as much as digits as its factorization.

221010102012181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 221010102012181 in words is "two hundred twenty-one trillion, ten billion, one hundred two million, twelve thousand, one hundred eighty-one".