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122210220011101 is a prime number
BaseRepresentation
bin11011110010011001001000…
…110000000110111001011101
3121000201011221100122221000121
4123302121020300012321131
5112004243012310323401
61111530333334154541
734512253115252035
oct3362311060067135
9530634840587017
10122210220011101
1135a38077200862
12118591ab4b2a51
1353264b3440151
1422270130748c5
15e1de7ce23ca1
hex6f2648c06e5d

122210220011101 has 2 divisors, whose sum is σ = 122210220011102. Its totient is φ = 122210220011100.

The previous prime is 122210220011069. The next prime is 122210220011147. The reversal of 122210220011101 is 101110022012221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116557718516100 + 5652501495001 = 10796190^2 + 2377499^2 .

It is a cyclic number.

It is not a de Polignac number, because 122210220011101 - 25 = 122210220011069 is a prime.

It is a super-2 number, since 2×1222102200111012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122210220011401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105110005550 + 61105110005551.

It is an arithmetic number, because the mean of its divisors is an integer number (61105110005551).

Almost surely, 2122210220011101 is an apocalyptic number.

It is an amenable number.

122210220011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210220011101 is an equidigital number, since it uses as much as digits as its factorization.

122210220011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122210220011101 its reverse (101110022012221), we get a palindrome (223320242023322).

The spelling of 122210220011101 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred twenty million, eleven thousand, one hundred one".