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10101121409 is a prime number
BaseRepresentation
bin10010110100001001…
…01110000110000001
3222001222001010121202
421122010232012001
5131141341341114
64350154030545
7505213054361
oct113204560601
928058033552
1010101121409
114313902025
121b5aa18455
13c4c934522
146bb7669a1
153e1bd4cde
hex25a12e181

10101121409 has 2 divisors, whose sum is σ = 10101121410. Its totient is φ = 10101121408.

The previous prime is 10101121379. The next prime is 10101121453. The reversal of 10101121409 is 90412110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8811952384 + 1289169025 = 93872^2 + 35905^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101121409 - 28 = 10101121153 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101111409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050560704 + 5050560705.

It is an arithmetic number, because the mean of its divisors is an integer number (5050560705).

Almost surely, 210101121409 is an apocalyptic number.

It is an amenable number.

10101121409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101121409 is an equidigital number, since it uses as much as digits as its factorization.

10101121409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10101121409 in words is "ten billion, one hundred one million, one hundred twenty-one thousand, four hundred nine".