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101101009969 is a prime number
BaseRepresentation
bin101111000101000010…
…1101111110000110001
3100122221220101102222201
41132022011233300301
53124023324304334
6114240053303201
710206243256051
oct1361205576061
9318856342881
10101101009969
11399709801a3
1217716634b01
1396c295502b
144c71383561
15296ac1ec14
hex178a16fc31

101101009969 has 2 divisors, whose sum is σ = 101101009970. Its totient is φ = 101101009968.

The previous prime is 101101009957. The next prime is 101101009981. The reversal of 101101009969 is 969900101101.

It is a balanced prime because it is at equal distance from previous prime (101101009957) and next prime (101101009981).

It can be written as a sum of positive squares in only one way, i.e., 65069377569 + 36031632400 = 255087^2 + 189820^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101009969 - 25 = 101101009937 is a prime.

It is a super-2 number, since 2×1011010099692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101101009169) 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, 50550504984 + 50550504985.

It is an arithmetic number, because the mean of its divisors is an integer number (50550504985).

Almost surely, 2101101009969 is an apocalyptic number.

It is an amenable number.

101101009969 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101009969 is an equidigital number, since it uses as much as digits as its factorization.

101101009969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 37.

The spelling of 101101009969 in words is "one hundred one billion, one hundred one million, nine thousand, nine hundred sixty-nine".