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222122122010101 is a prime number
BaseRepresentation
bin110010100000010011010110…
…001011011101110111110101
31002010110200000121001022022101
4302200103112023131313311
5213103222101213310401
62104225254423102101
764533536151654325
oct6240232613356765
91063420017038271
10222122122010101
1164858510187945
1220ab49092a1931
1396c3045817501
143cbcaa7813285
151aa2d8d31c101
hexca04d62dddf5

222122122010101 has 2 divisors, whose sum is σ = 222122122010102. Its totient is φ = 222122122010100.

The previous prime is 222122122010099. The next prime is 222122122010123. The reversal of 222122122010101 is 101010221221222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218170653901201 + 3951468108900 = 14770601^2 + 1987830^2 .

It is a cyclic number.

It is not a de Polignac number, because 222122122010101 - 21 = 222122122010099 is a prime.

Together with 222122122010099, 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 (222122122010141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111061061005050 + 111061061005051.

It is an arithmetic number, because the mean of its divisors is an integer number (111061061005051).

Almost surely, 2222122122010101 is an apocalyptic number.

It is an amenable number.

222122122010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122122010101 is an equidigital number, since it uses as much as digits as its factorization.

222122122010101 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 19.

Adding to 222122122010101 its reverse (101010221221222), we get a palindrome (323132343231323).

The spelling of 222122122010101 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-two million, ten thousand, one hundred one".