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101010001109 is a prime number
BaseRepresentation
bin101111000010010101…
…0100100110011010101
3100122201120010201022012
41132010222210303111
53123332030013414
6114223042514005
710204056562103
oct1360452446325
9318646121265
10101010001109
113992456a966
12176b0065905
1396a9b3bb34
144c63252c73
152962c4433e
hex1784aa4cd5

101010001109 has 2 divisors, whose sum is σ = 101010001110. Its totient is φ = 101010001108.

The previous prime is 101010001087. The next prime is 101010001139. The reversal of 101010001109 is 901100010101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57301826884 + 43708174225 = 239378^2 + 209065^2 .

It is an emirp because it is prime and its reverse (901100010101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101010001109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010001093 and 101010001102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010001139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000554 + 50505000555.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000555).

Almost surely, 2101010001109 is an apocalyptic number.

It is an amenable number.

101010001109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010001109 is an equidigital number, since it uses as much as digits as its factorization.

101010001109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101010001109 in words is "one hundred one billion, ten million, one thousand, one hundred nine".