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100212122221 is a prime number
BaseRepresentation
bin101110101010100011…
…0111010001001101101
3100120122221210021020021
41131111012322021231
53120213300402341
6114011541322141
710145230661431
oct1352506721155
9316587707207
10100212122221
1139555148722
1217508a06351
1395b074c553
144bc92ba9c1
152917b8a9d1
hex17551ba26d

100212122221 has 2 divisors, whose sum is σ = 100212122222. Its totient is φ = 100212122220.

The previous prime is 100212122191. The next prime is 100212122243. The reversal of 100212122221 is 122221212001.

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., 94242860100 + 5969262121 = 306990^2 + 77261^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212122221 - 223 = 100203733613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212122195 and 100212122204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212122251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106061110 + 50106061111.

It is an arithmetic number, because the mean of its divisors is an integer number (50106061111).

Almost surely, 2100212122221 is an apocalyptic number.

It is an amenable number.

100212122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212122221 is an equidigital number, since it uses as much as digits as its factorization.

100212122221 is an evil number, because the sum of its binary digits is even.

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

Adding to 100212122221 its reverse (122221212001), we get a palindrome (222433334222).

The spelling of 100212122221 in words is "one hundred billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty-one".