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100101007 is a prime number
BaseRepresentation
bin1011111011101…
…10101110001111
320222100122202201
411331312232033
5201111213012
613533302331
72323562446
oct575665617
9228318681
10100101007
1151560406
12296349a7
131797a786
14d419d5d
158bc4857
hex5f76b8f

100101007 has 2 divisors, whose sum is σ = 100101008. Its totient is φ = 100101006.

The previous prime is 100100927. The next prime is 100101013. The reversal of 100101007 is 700101001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100101007 - 211 = 100098959 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100984 and 100101002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101097) 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, 50050503 + 50050504.

It is an arithmetic number, because the mean of its divisors is an integer number (50050504).

Almost surely, 2100101007 is an apocalyptic number.

100101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101007 is an equidigital number, since it uses as much as digits as its factorization.

100101007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 100101007 is about 10005.0490753419. The cubic root of 100101007 is about 464.3151084281.

Adding to 100101007 its reverse (700101001), we get a palindrome (800202008).

The spelling of 100101007 in words is "one hundred million, one hundred one thousand, seven".