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122100210200209 is a prime number
BaseRepresentation
bin11011110000110010101011…
…101001111110111010010001
3121000022122222120210111122011
4123300302223221332322101
5112000442212302401314
61111404021234142521
734501310014300303
oct3360625351767221
9530278876714564
10122100210200209
11359a545456a67a
121183ba09421a41
135319000bb97a7
142221978859973
15e1b19003e4c4
hex6f0caba7ee91

122100210200209 has 2 divisors, whose sum is σ = 122100210200210. Its totient is φ = 122100210200208.

The previous prime is 122100210200207. The next prime is 122100210200233. The reversal of 122100210200209 is 902002012001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73982361690000 + 48117848510209 = 8601300^2 + 6936703^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100210200209 - 21 = 122100210200207 is a prime.

It is a super-2 number, since 2×1221002102002092 (a number of 29 digits) contains 22 as substring.

Together with 122100210200207, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 122100210200209.

It is not a weakly prime, because it can be changed into another prime (122100210200207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050105100104 + 61050105100105.

It is an arithmetic number, because the mean of its divisors is an integer number (61050105100105).

Almost surely, 2122100210200209 is an apocalyptic number.

It is an amenable number.

122100210200209 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100210200209 is an equidigital number, since it uses as much as digits as its factorization.

122100210200209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 122100210200209 in words is "one hundred twenty-two trillion, one hundred billion, two hundred ten million, two hundred thousand, two hundred nine".