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122101153381 is a prime number
BaseRepresentation
bin111000110110111001…
…0111011111001100101
3102200011102212021002001
41301231302323321211
54000030343402011
6132031551245301
711551531452004
oct1615562737145
9380142767061
10122101153381
1147867a10819
121b7b7519831
13b68b5ba1ac
145ca4412c3b
1532996997c1
hex1c6dcbbe65

122101153381 has 2 divisors, whose sum is σ = 122101153382. Its totient is φ = 122101153380.

The previous prime is 122101153337. The next prime is 122101153397. The reversal of 122101153381 is 183351101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120613817025 + 1487336356 = 347295^2 + 38566^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101153381 - 227 = 121966935653 is a prime.

It is a super-2 number, since 2×1221011533812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101153781) 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, 61050576690 + 61050576691.

It is an arithmetic number, because the mean of its divisors is an integer number (61050576691).

Almost surely, 2122101153381 is an apocalyptic number.

It is an amenable number.

122101153381 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101153381 is an equidigital number, since it uses as much as digits as its factorization.

122101153381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 122101153381 in words is "one hundred twenty-two billion, one hundred one million, one hundred fifty-three thousand, three hundred eighty-one".