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2210212010101 is a prime number
BaseRepresentation
bin100000001010011010111…
…001101101100001110101
321211021221110211101202211
4200022122321231201311
5242203003233310401
64411205105533421
7315453054052204
oct40123271554165
97737843741684
102210212010101
11782389072357
122b842b644271
13130564471774
1478d90d2123b
153c75cc3c951
hex2029ae6d875

2210212010101 has 2 divisors, whose sum is σ = 2210212010102. Its totient is φ = 2210212010100.

The previous prime is 2210212010099. The next prime is 2210212010159. The reversal of 2210212010101 is 1010102120122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1125718878001 + 1084493132100 = 1060999^2 + 1041390^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210212010101 - 21 = 2210212010099 is a prime.

Together with 2210212010099, 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 (2210212010161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105106005050 + 1105106005051.

It is an arithmetic number, because the mean of its divisors is an integer number (1105106005051).

Almost surely, 22210212010101 is an apocalyptic number.

It is an amenable number.

2210212010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210212010101 is an equidigital number, since it uses as much as digits as its factorization.

2210212010101 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 2210212010101 its reverse (1010102120122), we get a palindrome (3220314130223).

The spelling of 2210212010101 in words is "two trillion, two hundred ten billion, two hundred twelve million, ten thousand, one hundred one".