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122202100021 is a prime number
BaseRepresentation
bin111000111001111010…
…0000001000100110101
3102200102110210212211111
41301303310001010311
54000232214200041
6132045555035021
711554165466041
oct1616364010465
9380373725744
10122202100021
11479099994a1
121b82529ba71
13b6a64a2831
145cb39ad021
1532a3489981
hex1c73d01135

122202100021 has 2 divisors, whose sum is σ = 122202100022. Its totient is φ = 122202100020.

The previous prime is 122202099997. The next prime is 122202100043. The reversal of 122202100021 is 120001202221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97250422500 + 24951677521 = 311850^2 + 157961^2 .

It is an emirp because it is prime and its reverse (120001202221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122202100021 - 25 = 122202099989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122202099974 and 122202100010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122202106021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61101050010 + 61101050011.

It is an arithmetic number, because the mean of its divisors is an integer number (61101050011).

Almost surely, 2122202100021 is an apocalyptic number.

It is an amenable number.

122202100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122202100021 is an equidigital number, since it uses as much as digits as its factorization.

122202100021 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 13.

Adding to 122202100021 its reverse (120001202221), we get a palindrome (242203302242).

The spelling of 122202100021 in words is "one hundred twenty-two billion, two hundred two million, one hundred thousand, twenty-one".