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101122321049 is a prime number
BaseRepresentation
bin101111000101101011…
…1000010101010011001
3100200000101111011021222
41132023113002222121
53124044303233144
6114242134141425
710206622355351
oct1361327025231
9320011434258
10101122321049
1139981a06562
12177217b1875
1396c71a7139
144c7412db61
15296ca2e2ee
hex178b5c2a99

101122321049 has 2 divisors, whose sum is σ = 101122321050. Its totient is φ = 101122321048.

The previous prime is 101122321031. The next prime is 101122321057. The reversal of 101122321049 is 940123221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76396960000 + 24725361049 = 276400^2 + 157243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101122321049 is a prime.

It is not a weakly prime, because it can be changed into another prime (101122321549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561160524 + 50561160525.

It is an arithmetic number, because the mean of its divisors is an integer number (50561160525).

Almost surely, 2101122321049 is an apocalyptic number.

It is an amenable number.

101122321049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122321049 is an equidigital number, since it uses as much as digits as its factorization.

101122321049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 101122321049 in words is "one hundred one billion, one hundred twenty-two million, three hundred twenty-one thousand, forty-nine".