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100211222101 is a prime number
BaseRepresentation
bin101110101010100001…
…1011110011001010101
3100120122220002112111111
41131111003132121111
53120213033101401
6114011510135021
710145220222244
oct1352503363125
9316586075444
10100211222101
1139554693421
1217508651471
1395b04c5933
144bc912495b
152917a5de51
hex17550de655

100211222101 has 2 divisors, whose sum is σ = 100211222102. Its totient is φ = 100211222100.

The previous prime is 100211222099. The next prime is 100211222129. The reversal of 100211222101 is 101222112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93259998225 + 6951223876 = 305385^2 + 83374^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211222101 - 21 = 100211222099 is a prime.

Together with 100211222099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211222171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105611050 + 50105611051.

It is an arithmetic number, because the mean of its divisors is an integer number (50105611051).

Almost surely, 2100211222101 is an apocalyptic number.

It is an amenable number.

100211222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211222101 is an equidigital number, since it uses as much as digits as its factorization.

100211222101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100211222101 its reverse (101222112001), we get a palindrome (201433334102).

The spelling of 100211222101 in words is "one hundred billion, two hundred eleven million, two hundred twenty-two thousand, one hundred one".