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210122219101 is a prime number
BaseRepresentation
bin1100001110110001000…
…0101001111001011101
3202002100210000200201011
43003230100221321131
511420312242002401
6240310120215221
721116011251604
oct3035420517135
9662323020634
10210122219101
1181126573233
123488160a511
1316a7842c632
14a25457aa3b
1556ebe25451
hex30ec429e5d

210122219101 has 2 divisors, whose sum is σ = 210122219102. Its totient is φ = 210122219100.

The previous prime is 210122219077. The next prime is 210122219107. The reversal of 210122219101 is 101912221012.

210122219101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167747584900 + 42374634201 = 409570^2 + 205851^2 .

It is a cyclic number.

It is not a de Polignac number, because 210122219101 - 227 = 209988001373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210122219107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105061109550 + 105061109551.

It is an arithmetic number, because the mean of its divisors is an integer number (105061109551).

Almost surely, 2210122219101 is an apocalyptic number.

It is an amenable number.

210122219101 is a deficient number, since it is larger than the sum of its proper divisors (1).

210122219101 is an equidigital number, since it uses as much as digits as its factorization.

210122219101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 210122219101 in words is "two hundred ten billion, one hundred twenty-two million, two hundred nineteen thousand, one hundred one".