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122100010120021 is a prime number
BaseRepresentation
bin11011110000110010011111…
…101110101111001101010101
3121000022122110122022101012211
4123300302133232233031111
5112000441310042320041
61111403545325513421
734501302034530163
oct3360623756571525
9530278418271184
10122100010120021
11359a536163244a
121183b972412871
135318c9b604b4b
14222195a056233
15e1b17c6bb481
hex6f0c9fbaf355

122100010120021 has 2 divisors, whose sum is σ = 122100010120022. Its totient is φ = 122100010120020.

The previous prime is 122100010120013. The next prime is 122100010120069. The reversal of 122100010120021 is 120021010001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122065595788900 + 34414331121 = 11048330^2 + 185511^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100010120021 - 23 = 122100010120013 is a prime.

It is a super-2 number, since 2×1221000101200212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122100010119983 and 122100010120010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100010120321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050005060010 + 61050005060011.

It is an arithmetic number, because the mean of its divisors is an integer number (61050005060011).

Almost surely, 2122100010120021 is an apocalyptic number.

It is an amenable number.

122100010120021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100010120021 is an equidigital number, since it uses as much as digits as its factorization.

122100010120021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122100010120021 its reverse (120021010001221), we get a palindrome (242121020121242).

The spelling of 122100010120021 in words is "one hundred twenty-two trillion, one hundred billion, ten million, one hundred twenty thousand, twenty-one".